Can you solve for x in this equation?

  • Thread starter Thread starter DLxX
  • Start date Start date
AI Thread Summary
To solve the equation 4x^2 + x = 0, factor out the common variable x, resulting in x(4x + 1) = 0. This leads to two potential solutions: x = 0 and 4x + 1 = 0. Solving 4x + 1 = 0 gives x = -1/4 or -0.25. The discussion highlights the factoring method and confirms the solutions through basic algebraic principles. Ultimately, the equation can be solved effectively by recognizing common factors.
DLxX
Messages
58
Reaction score
0
How do I solve for x in the following question? I'm pretty sure you have to factor, but how do I solve for x with two x variables?

4x^2 + x = 0
 
Mathematics news on Phys.org
'x' is a common factor to both terms. Factor it out:

x(4x + 1) = 0


Do you know how to solve it now?
 
Ummm I am not too sure
 
Lol.
4x^2 + x = 0
from there, you can take out the x.
so.. x(4x+1)=0 since (that is equilivent to 4x^2 + x = 0 )
so now, you have (x) times (4x+1) equals 0, what do either have to be in order for the equation to equal 0?
0!
so you have x=0 and 4x+1=0
you solve for x, and you get 0,-1/4
 
0 or -0.25 via the "quadratic formula".
 
EDIT: Yup I figured it out before I refreshed the page lol. Thanks guys.
 

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

MHB Solve Equation: $x^4+2x^3-x^2-6x-3=0$
Replies
7
Views
1K
I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##
Replies
16
Views
465
B Solving equations but getting an identity - what mistakes were made?
Replies
4
Views
841
MHB Can graph be used to solve inequalities without algebra?
Replies
2
Views
2K
MHB Solve $x^4+(4-x)^4=32$ Equation
Replies
2
Views
976
B Given an equation, find the value of this expression
Replies
17
Views
2K
B Are Implication and Equivalence Interchangeable in Logic?
Replies
9
Views
2K
MHB Solve Differential Eq: xe^-1/(k+e^-1) for x, k, t
Replies
2
Views
1K
I Can the same argument be used for both radians and degrees in the sine function?
Replies
3
Views
2K
MHB Solve $(x^2-7x+11)^{x^2-13x+42}=1$ Equation
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top