2z^2(4z^2-9z-9)=

Solution for 2z^2(4z^2-9z-9)= equation:

Simplifying
2z2(4z2 + -9z + -9) = 0

Reorder the terms:
2z2(-9 + -9z + 4z2) = 0
(-9 * 2z2 + -9z * 2z2 + 4z2 * 2z2) = 0
(-18z2 + -18z3 + 8z4) = 0

Solving
-18z2 + -18z3 + 8z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z2'.
2z2(-9 + -9z + 4z2) = 0

Factor a trinomial.
2z2((-3 + -4z)(3 + -1z)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve:

Simplifying
z2 = 0

Solving
z2 = 0

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

Simplifying
z2 = 0

Take the square root of each side:
z = {0}
Subproblem 2
Set the factor '(-3 + -4z)' equal to zero and attempt to solve:

Simplifying
-3 + -4z = 0

Solving
-3 + -4z = 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 + -4z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4z = 0 + 3
-4z = 0 + 3

Combine like terms: 0 + 3 = 3
-4z = 3

Divide each side by '-4'.
z = -0.75

Simplifying
z = -0.75
Subproblem 3
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
Solution
z = {0, -0.75, 3}