4xy^2+32xy-80x=

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Solution for 4xy^2+32xy-80x= equation:


Simplifying
4xy2 + 32xy + -80x = 0

Reorder the terms:
-80x + 32xy + 4xy2 = 0

Solving
-80x + 32xy + 4xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-20 + 8y + y2) = 0

Factor a trinomial.
4x((-10 + -1y)(2 + -1y)) = 0

Ignore the factor 4.

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 '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Add 'y' to each side of the equation. -1y + y = 10 + y Combine like terms: -1y + y = 0 0 = 10 + y Simplifying 0 = 10 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Add 'y' to each side of the equation. -1y + y = -2 + y Combine like terms: -1y + y = 0 0 = -2 + y Simplifying 0 = -2 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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