100x^4-64x^2y^2=

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Solution for 100x^4-64x^2y^2= equation: 


Simplifying
100x4 + -64x2y2 = 0

Reorder the terms:
-64x2y2 + 100x4 = 0

Solving
-64x2y2 + 100x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-16y2 + 25x2) = 0

Factor a difference between two squares.
4x2((4y + 5x)(-4y + 5x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(4y + 5x)' equal to zero and attempt to solve:

Simplifying
4y + 5x = 0

Reorder the terms:
5x + 4y = 0

Solving
5x + 4y = 0

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 0 + -4y
5x = 0 + -4y
Remove the zero:
5x = -4y

Divide each side by '5'.
x = -0.8y

Simplifying
x = -0.8y

Subproblem 3
Set the factor '(-4y + 5x)' equal to zero and attempt to solve:

Simplifying
-4y + 5x = 0

Reorder the terms:
5x + -4y = 0

Solving
5x + -4y = 0

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

Add '4y' to each side of the equation.
5x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 0 + 4y
5x = 0 + 4y
Remove the zero:
5x = 4y

Divide each side by '5'.
x = 0.8y

Simplifying
x = 0.8y
Solution
x = {0, -0.8y, 0.8y}

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