Can't Solve 4x+3*2x+2+32=0? Get Help Here!

  • Thread starter 1/2"
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In summary, The equation 4x + 3*2x+2 + 32 = 0 can be rewritten as 2^(2x) + 2^(x+3) + 2^(x+2) + 25 = 0. It can be solved using the quadratic formula or by letting u = 2^x. The coefficient of 2x in the original equation is incorrect.
  • #1
1/2"
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0

Homework Statement


The problem is 4 x+ 3*2 x+2 + 32 = 0

Homework Equations


None


The Attempt at a Solution


I can’t get to any solution in this problem but I have come to a point (if it is nearing any solution though) but I am not sure whether it is correct or not.
Well what I have done is
2 2x + (2+1)2 x+2 + 2 5=0
==> 2 2x + 2*2 x+2 + 2 x+2 +2 5=0
==>2 2x + 2 x+3 + 2 x+2 +2 5=0
( That’s all I have done)
I would be very thankful to receive any help!
Thank you!
 
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  • #2
4x = (22)x = 22x and 2x + 2 = 22* 2x

Your equation can be rewritten so that it is quadratic in form.
 
  • #3
Mark44 said:
4x = (22)x = 22x and 2x + 2 = 22* 2x

Your equation can be rewritten so that it is quadratic in form.

Ok so I write it like this
2 2x + 2 x*2 3 + 2 x *2 2 +2 5=0
But where does it go after this??
 
  • #4
you see, that 2^x is the common variable,
so you can solve it like solving quadratic equation..

or if you wan to see it more clearly, try let u = 2^x
 
  • #5
1/2" said:
Ok so I write it like this
2 2x + 2 x*2 3 + 2 x *2 2 +2 5=0
But where does it go after this??
your coefficient of 2x is wrong. There should be only a single 2x term, not two of them as you show. 3*2x+2 does NOT expand to a sum of two terms.

Also, rewriting 32 as 25 does you no good.
 

Related to Can't Solve 4x+3*2x+2+32=0? Get Help Here!

1. What does the equation "4x+3*2x+2+32=0" mean?

This equation is a mathematical expression that represents an unknown variable, x, being multiplied by 4 and then added to the product of 3, 2, and x. The resulting sum is then added to 2 and 32, and the final answer should equal 0.

2. Why can't I solve this equation by myself?

Solving equations involves various mathematical techniques and rules that may be unfamiliar or difficult to apply without proper knowledge and practice. It is always advisable to seek help from a tutor or a teacher when facing difficulties in solving equations.

3. What steps should I follow to solve this equation?

There are several methods for solving equations, but one common approach is to use the order of operations (PEMDAS) to simplify the equation and isolate the variable. Then, use inverse operations to solve for the variable. It is important to remember to perform the same operation on both sides of the equation in order to maintain balance.

4. Can I use a calculator to solve this equation?

While a calculator can be a helpful tool in checking your work, it is not recommended to solely rely on it for solving equations. Calculators may not always provide accurate or complete solutions, and it is important to understand the mathematical concepts behind solving equations.

5. Where can I get help with solving this equation?

You can seek help from a math tutor, teacher, or online resources such as video tutorials, forums, and practice problems. It is also important to practice regularly and ask for clarification when needed in order to improve your problem-solving skills.

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