288x^3-8y^2x=

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Solution for 288x^3-8y^2x= equation: 


Simplifying
288x3 + -8y2x = 0

Reorder the terms:
-8xy2 + 288x3 = 0

Solving
-8xy2 + 288x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-1y2 + 36x2) = 0

Factor a difference between two squares.
8x((y + 6x)(-1y + 6x)) = 0

Ignore the factor 8.

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 '(y + 6x)' equal to zero and attempt to solve:

Simplifying
y + 6x = 0

Reorder the terms:
6x + y = 0

Solving
6x + y = 0

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

Add '-1y' to each side of the equation.
6x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
6x + 0 = 0 + -1y
6x = 0 + -1y
Remove the zero:
6x = -1y

Divide each side by '6'.
x = -0.1666666667y

Simplifying
x = -0.1666666667y

Subproblem 3
Set the factor '(-1y + 6x)' equal to zero and attempt to solve:

Simplifying
-1y + 6x = 0

Reorder the terms:
6x + -1y = 0

Solving
6x + -1y = 0

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

Add 'y' to each side of the equation.
6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
6x + 0 = 0 + y
6x = 0 + y
Remove the zero:
6x = y

Divide each side by '6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y
Solution
x = {0, -0.1666666667y, 0.1666666667y}

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