448x^4-63x^2y^2=

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Solution for 448x^4-63x^2y^2= equation: 


Simplifying
448x4 + -63x2y2 = 0

Reorder the terms:
-63x2y2 + 448x4 = 0

Solving
-63x2y2 + 448x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-9y2 + 64x2) = 0

Factor a difference between two squares.
7x2((3y + 8x)(-3y + 8x)) = 0

Ignore the factor 7.

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 '(3y + 8x)' equal to zero and attempt to solve:

Simplifying
3y + 8x = 0

Reorder the terms:
8x + 3y = 0

Solving
8x + 3y = 0

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

Add '-3y' to each side of the equation.
8x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = 0 + -3y
8x = 0 + -3y
Remove the zero:
8x = -3y

Divide each side by '8'.
x = -0.375y

Simplifying
x = -0.375y

Subproblem 3
Set the factor '(-3y + 8x)' equal to zero and attempt to solve:

Simplifying
-3y + 8x = 0

Reorder the terms:
8x + -3y = 0

Solving
8x + -3y = 0

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

Add '3y' to each side of the equation.
8x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
8x + 0 = 0 + 3y
8x = 0 + 3y
Remove the zero:
8x = 3y

Divide each side by '8'.
x = 0.375y

Simplifying
x = 0.375y
Solution
x = {0, -0.375y, 0.375y}

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