96wx^3y^2z^2-144w^3xy^2z^2=0

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Solution for 96wx^3y^2z^2-144w^3xy^2z^2=0 equation: 


Simplifying
96wx3y2z2 + -144w3xy2z2 = 0

Solving
96wx3y2z2 + -144w3xy2z2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '48wxy2z2'.
48wxy2z2(2x2 + -3w2) = 0

Ignore the factor 48.

Subproblem 1
Set the factor 'wxy2z2' equal to zero and attempt to solve:

Simplifying
wxy2z2 = 0

Solving
wxy2z2 = 0

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

Simplifying
wxy2z2 = 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 '(2x2 + -3w2)' equal to zero and attempt to solve:

Simplifying
2x2 + -3w2 = 0

Reorder the terms:
-3w2 + 2x2 = 0

Solving
-3w2 + 2x2 = 0

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

Add '-2x2' to each side of the equation.
-3w2 + 2x2 + -2x2 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3w2 + 0 = 0 + -2x2
-3w2 = 0 + -2x2
Remove the zero:
-3w2 = -2x2

Divide each side by '-3'.
w2 = 0.6666666667x2

Simplifying
w2 = 0.6666666667x2

Take the square root of each side:
w = {-0.816496581x, 0.816496581x}
Solution
w = {-0.816496581x, 0.816496581x}

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