Solve for z: -10z + (z-1)21.875 - [(z-1)5*((2-1)/2)] = 0

Thread starter Solidsam
Start date May 8, 2011
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In summary, the value of z is approximately 2.5 and to solve for z, you will need to use the distributive property, combine like terms, isolate the variable z, and use algebraic methods. This equation can have more than one solution for z, but in this case, there is only one solution which is 2.5. Additionally, z can have a negative value as it can be any real number. The steps for solving this equation are to use the distributive property, combine like terms, isolate the variable z, and solve using algebraic methods.

May 8, 2011

Solidsam

how do i find z in this problem

-10z+(z-1)21.875-[(z-1)5*((2-1)/2)]=0

i get a quadratic equation but can't seem to get the right answer

z=2.094

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May 8, 2011

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

Eh? Looks like a linear equation to me.

Anyways, we can't see what you're doing wrong if you don't show your work...

1. What is the value of z?

The value of z is approximately 2.5.

2. How do you solve for z?

To solve for z, you will need to use the distributive property to simplify the equation and then combine like terms. Next, you will need to isolate the variable z on one side of the equation by moving all other terms to the other side. Finally, use algebraic methods such as addition, subtraction, multiplication, and division to solve for z.

3. Can this equation have more than one solution for z?

Yes, this equation can have more than one solution for z. However, in this specific case, there is only one solution for z which is 2.5.

4. Is it possible for z to have a negative value?

Yes, it is possible for z to have a negative value. In this equation, z can be any real number, including negative numbers.

5. What are the steps for solving this equation?

The steps for solving this equation are:

Use the distributive property to simplify the equation.
Combine like terms.
Isolate the variable z on one side of the equation by moving all other terms to the other side.
Solve for z using algebraic methods.