16x^3+4xy^2=

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Solution for 16x^3+4xy^2= equation: 


Simplifying
16x3 + 4xy2 = 0

Reorder the terms:
4xy2 + 16x3 = 0

Solving
4xy2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(y2 + 4x2) = 0

Ignore the factor 4.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y2 + 4x2)' equal to zero and attempt to solve:

Simplifying
y2 + 4x2 = 0

Reorder the terms:
4x2 + y2 = 0

Solving
4x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = 0 + -1y2
4x2 = 0 + -1y2
Remove the zero:
4x2 = -1y2

Divide each side by '4'.
x2 = -0.25y2

Simplifying
x2 = -0.25y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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