(4z-6)(4z-6z+36)=

Solution for (4z-6)(4z-6z+36)= equation:

Simplifying
(4z + -6)(4z + -6z + 36) = 0

Reorder the terms:
(-6 + 4z)(4z + -6z + 36) = 0

Reorder the terms:
(-6 + 4z)(36 + 4z + -6z) = 0

Combine like terms: 4z + -6z = -2z
(-6 + 4z)(36 + -2z) = 0

Multiply (-6 + 4z) * (36 + -2z)
(-6(36 + -2z) + 4z * (36 + -2z)) = 0
((36 * -6 + -2z * -6) + 4z * (36 + -2z)) = 0
((-216 + 12z) + 4z * (36 + -2z)) = 0
(-216 + 12z + (36 * 4z + -2z * 4z)) = 0
(-216 + 12z + (144z + -8z2)) = 0

Combine like terms: 12z + 144z = 156z
(-216 + 156z + -8z2) = 0

Solving
-216 + 156z + -8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-54 + 39z + -2z2) = 0

Factor a trinomial.
4((-18 + z)(3 + -2z)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-18 + z)' equal to zero and attempt to solve:

Simplifying
-18 + z = 0

Solving
-18 + z = 0

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

Add '18' to each side of the equation.
-18 + 18 + z = 0 + 18

Combine like terms: -18 + 18 = 0
0 + z = 0 + 18
z = 0 + 18

Combine like terms: 0 + 18 = 18
z = 18

Simplifying
z = 18
Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve:

Simplifying
3 + -2z = 0

Solving
3 + -2z = 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 + -2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = 0 + -3
-2z = 0 + -3

Combine like terms: 0 + -3 = -3
-2z = -3

Divide each side by '-2'.
z = 1.5

Simplifying
z = 1.5
Solution
z = {18, 1.5}