(x^2-y^2)(4x+16y)=0

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Solution for (x^2-y^2)(4x+16y)=0 equation: 


Simplifying
(x2 + -1y2)(4x + 16y) = 0

Multiply (x2 + -1y2) * (4x + 16y)
(x2(4x + 16y) + -1y2 * (4x + 16y)) = 0
((4x * x2 + 16y * x2) + -1y2 * (4x + 16y)) = 0

Reorder the terms:
((16x2y + 4x3) + -1y2 * (4x + 16y)) = 0
((16x2y + 4x3) + -1y2 * (4x + 16y)) = 0
(16x2y + 4x3 + (4x * -1y2 + 16y * -1y2)) = 0
(16x2y + 4x3 + (-4xy2 + -16y3)) = 0

Reorder the terms:
(-4xy2 + 16x2y + 4x3 + -16y3) = 0
(-4xy2 + 16x2y + 4x3 + -16y3) = 0

Solving
-4xy2 + 16x2y + 4x3 + -16y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1xy2 + 4x2y + x3 + -4y3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1xy2 + 4x2y + x3 + -4y3)' equal to zero and attempt to solve:

Simplifying
-1xy2 + 4x2y + x3 + -4y3 = 0

Solving
-1xy2 + 4x2y + x3 + -4y3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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