-15z^6+9z^4-25z^2=

Solution for -15z^6+9z^4-25z^2= equation:

Simplifying
-15z6 + 9z4 + -25z2 = 0

Reorder the terms:
-25z2 + 9z4 + -15z6 = 0

Solving
-25z2 + 9z4 + -15z6 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z2'.
z2(-25 + 9z2 + -15z4) = 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 '(-25 + 9z2 + -15z4)' equal to zero and attempt to solve:

Simplifying
-25 + 9z2 + -15z4 = 0

Solving
-25 + 9z2 + -15z4 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
1.666666667 + -0.6z2 + z4 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.6z2 + -1.666666667 + z4 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.6z2 + z4 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.6z2 + z4 = 0 + -1.666666667
-0.6z2 + z4 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.6z2 + z4 = -1.666666667

The z term is -0.6z2.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6z2 + 0.09 + z4 = -1.666666667 + 0.09

Reorder the terms:
0.09 + -0.6z2 + z4 = -1.666666667 + 0.09

Combine like terms: -1.666666667 + 0.09 = -1.576666667
0.09 + -0.6z2 + z4 = -1.576666667

Factor a perfect square on the left side:
(z2 + -0.3)(z2 + -0.3) = -1.576666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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