-3x^7y^8(3xz^6+2y^2-4z^2)=

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Solution for -3x^7y^8(3xz^6+2y^2-4z^2)= equation: 


Simplifying
-3x7y8(3xz6 + 2y2 + -4z2) = 0
(3xz6 * -3x7y8 + 2y2 * -3x7y8 + -4z2 * -3x7y8) = 0

Reorder the terms:
(12x7y8z2 + -6x7y10 + -9x8y8z6) = 0
(12x7y8z2 + -6x7y10 + -9x8y8z6) = 0

Solving
12x7y8z2 + -6x7y10 + -9x8y8z6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x7y8'.
3x7y8(4z2 + -2y2 + -3xz6) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x7y8' equal to zero and attempt to solve:

Simplifying
x7y8 = 0

Solving
x7y8 = 0

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

Simplifying
x7y8 = 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 '(4z2 + -2y2 + -3xz6)' equal to zero and attempt to solve:

Simplifying
4z2 + -2y2 + -3xz6 = 0

Reorder the terms:
-3xz6 + -2y2 + 4z2 = 0

Solving
-3xz6 + -2y2 + 4z2 = 0

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

Add '2y2' to each side of the equation.
-3xz6 + -2y2 + 2y2 + 4z2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-3xz6 + 0 + 4z2 = 0 + 2y2
-3xz6 + 4z2 = 0 + 2y2
Remove the zero:
-3xz6 + 4z2 = 2y2

Add '-4z2' to each side of the equation.
-3xz6 + 4z2 + -4z2 = 2y2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
-3xz6 + 0 = 2y2 + -4z2
-3xz6 = 2y2 + -4z2

Divide each side by '-3z6'.
x = -0.6666666667y2z-6 + 1.333333333z-4

Simplifying
x = -0.6666666667y2z-6 + 1.333333333z-4
Solution
x = {-0.6666666667y2z-6 + 1.333333333z-4}

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