-9w^5x^6(6x^2+3w-7)=0

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Solution for -9w^5x^6(6x^2+3w-7)=0 equation: 


Simplifying
-9w5x6(6x2 + 3w + -7) = 0

Reorder the terms:
-9w5x6(-7 + 3w + 6x2) = 0
(-7 * -9w5x6 + 3w * -9w5x6 + 6x2 * -9w5x6) = 0

Reorder the terms:
(63w5x6 + -54w5x8 + -27w6x6) = 0
(63w5x6 + -54w5x8 + -27w6x6) = 0

Solving
63w5x6 + -54w5x8 + -27w6x6 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9w5x6'.
9w5x6(7 + -6x2 + -3w) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'w5x6' equal to zero and attempt to solve:

Simplifying
w5x6 = 0

Solving
w5x6 = 0

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

Simplifying
w5x6 = 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 '(7 + -6x2 + -3w)' equal to zero and attempt to solve:

Simplifying
7 + -6x2 + -3w = 0

Reorder the terms:
7 + -3w + -6x2 = 0

Solving
7 + -3w + -6x2 = 0

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

Add '-7' to each side of the equation.
7 + -3w + -7 + -6x2 = 0 + -7

Reorder the terms:
7 + -7 + -3w + -6x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3w + -6x2 = 0 + -7
-3w + -6x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3w + -6x2 = -7

Add '6x2' to each side of the equation.
-3w + -6x2 + 6x2 = -7 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-3w + 0 = -7 + 6x2
-3w = -7 + 6x2

Divide each side by '-3'.
w = 2.333333333 + -2x2

Simplifying
w = 2.333333333 + -2x2
Solution
w = {2.333333333 + -2x2}

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