-5z^2(-7z^2-9)=0

Solution for -5z^2(-7z^2-9)=0 equation:

Simplifying
-5z2(-7z2 + -9) = 0

Reorder the terms:
-5z2(-9 + -7z2) = 0
(-9 * -5z2 + -7z2 * -5z2) = 0
(45z2 + 35z4) = 0

Solving
45z2 + 35z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z2'.
5z2(9 + 7z2) = 0

Ignore the factor 5.
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 '(9 + 7z2)' equal to zero and attempt to solve:

Simplifying
9 + 7z2 = 0

Solving
9 + 7z2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7z2 = 0 + -9
7z2 = 0 + -9

Combine like terms: 0 + -9 = -9
7z2 = -9

Divide each side by '7'.
z2 = -1.285714286

Simplifying
z2 = -1.285714286

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}