2x^3-2x^2y-24xy^2=

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Solution for 2x^3-2x^2y-24xy^2= equation:


Simplifying
2x3 + -2x2y + -24xy2 = 0

Reorder the terms:
-24xy2 + -2x2y + 2x3 = 0

Solving
-24xy2 + -2x2y + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12y2 + -1xy + x2) = 0

Factor a trinomial.
2x((-3y + -1x)(4y + -1x)) = 0

Ignore the factor 2.

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 '(-3y + -1x)' equal to zero and attempt to solve: Simplifying -3y + -1x = 0 Reorder the terms: -1x + -3y = 0 Solving -1x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -1x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = 0 + 3y -1x = 0 + 3y Remove the zero: -1x = 3y Divide each side by '-1'. x = -3y Simplifying x = -3y

Subproblem 3

Set the factor '(4y + -1x)' equal to zero and attempt to solve: Simplifying 4y + -1x = 0 Reorder the terms: -1x + 4y = 0 Solving -1x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -1x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = 0 + -4y -1x = 0 + -4y Remove the zero: -1x = -4y Divide each side by '-1'. x = 4y Simplifying x = 4y

Solution

x = {0, -3y, 4y}

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