4x^3+6x^2y-40xy^2=

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Solution for 4x^3+6x^2y-40xy^2= equation:


Simplifying
4x3 + 6x2y + -40xy2 = 0

Reorder the terms:
-40xy2 + 6x2y + 4x3 = 0

Solving
-40xy2 + 6x2y + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20y2 + 3xy + 2x2) = 0

Factor a trinomial.
2x((-4y + -1x)(5y + -2x)) = 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 '(-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

Subproblem 3

Set the factor '(5y + -2x)' equal to zero and attempt to solve: Simplifying 5y + -2x = 0 Reorder the terms: -2x + 5y = 0 Solving -2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 0 + -5y -2x = 0 + -5y Remove the zero: -2x = -5y Divide each side by '-2'. x = 2.5y Simplifying x = 2.5y

Solution

x = {0, -4y, 2.5y}

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