Question

Simplify

(2z-3)^2

Answer 1

Simplifying
-2z3 + -2z2 + 24z = 0

Reorder the terms:
24z + -2z2 + -2z3 = 0

Solving
24z + -2z2 + -2z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(12 + -1z + -1z2) = 0

Factor a trinomial.
2z((3 + -1z)(4 + z)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 0
Subproblem 2
Set the factor '(3 + -1z)' equal to zero and attempt to solve:

Simplifying
3 + -1z = 0

Solving
3 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = 0 + -3
-1z = 0 + -3

Combine like terms: 0 + -3 = -3
-1z = -3

Divide each side by '-1'.
z = 3

Simplifying
z = 3
Subproblem 3
Set the factor '(4 + z)' equal to zero and attempt to solve:

Simplifying
4 + z = 0

Solving
4 + z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + z = 0 + -4
z = 0 + -4

Combine like terms: 0 + -4 = -4
z = -4

Simplifying
z = -4
Solution
z = {0, 3, -4}

Answer 2

Thanks :D

Answer 3

yw click best response

Answer 4

thats what i was going to do lol :)

Answer 5

lol ty
any more help

Answer 6

look at this site http://www.wolframalpha.com/input/?i=(2z-3)%5e2&incTime=true

Answer 7

thanks i like that cite