(5x^2z^5-9z^3)(-8x^6z)=0

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Solution for (5x^2z^5-9z^3)(-8x^6z)=0 equation: 


Simplifying
(5x2z5 + -9z3)(-8x6z) = 0

Remove parenthesis around (-8x6z)
(5x2z5 + -9z3) * -8x6z = 0

Reorder the terms for easier multiplication:
-8x6z(5x2z5 + -9z3) = 0
(5x2z5 * -8x6z + -9z3 * -8x6z) = 0

Reorder the terms:
(72x6z4 + -40x8z6) = 0
(72x6z4 + -40x8z6) = 0

Solving
72x6z4 + -40x8z6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x6z4'.
8x6z4(9 + -5x2z2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x6z4' equal to zero and attempt to solve:

Simplifying
x6z4 = 0

Solving
x6z4 = 0

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

Simplifying
x6z4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9 + -5x2z2)' equal to zero and attempt to solve:

Simplifying
9 + -5x2z2 = 0

Solving
9 + -5x2z2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x2z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x2z2 = 0 + -9
-5x2z2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5x2z2 = -9

Divide each side by '-5z2'.
x2 = 1.8z-2

Simplifying
x2 = 1.8z-2

Take the square root of each side:
x = {-1.341640787z-1, 1.341640787z-1}
Solution
x = {-1.341640787z-1, 1.341640787z-1}

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