-9z^3+2z^2-2z^3+z^2=

Solution for -9z^3+2z^2-2z^3+z^2= equation:

Simplifying
-9z3 + 2z2 + -2z3 + z2 = 0

Reorder the terms:
2z2 + z2 + -9z3 + -2z3 = 0

Combine like terms: 2z2 + z2 = 3z2
3z2 + -9z3 + -2z3 = 0

Combine like terms: -9z3 + -2z3 = -11z3
3z2 + -11z3 = 0

Solving
3z2 + -11z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z2'.
z2(3 + -11z) = 0

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 + -11z)' equal to zero and attempt to solve:

Simplifying
3 + -11z = 0

Solving
3 + -11z = 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 + -11z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11z = 0 + -3
-11z = 0 + -3

Combine like terms: 0 + -3 = -3
-11z = -3

Divide each side by '-11'.
z = 0.2727272727

Simplifying
z = 0.2727272727
Solution
z = {0, 0.2727272727}