xy(x-2y)-x(x+xy)=

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Solution for xy(x-2y)-x(x+xy)= equation:


Simplifying
xy(x + -2y) + -1x(x + xy) = 0
(x * xy + -2y * xy) + -1x(x + xy) = 0

Reorder the terms:
(-2xy2 + x2y) + -1x(x + xy) = 0
(-2xy2 + x2y) + -1x(x + xy) = 0
-2xy2 + x2y + (x * -1x + xy * -1x) = 0
-2xy2 + x2y + (-1x2 + -1x2y) = 0

Reorder the terms:
-2xy2 + -1x2 + x2y + -1x2y = 0

Combine like terms: x2y + -1x2y = 0
-2xy2 + -1x2 + 0 = 0
-2xy2 + -1x2 = 0

Solving
-2xy2 + -1x2 = 0

Solving for variable 'x'.

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

Ignore the factor -1.

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 '(2y2 + x)' equal to zero and attempt to solve: Simplifying 2y2 + x = 0 Reorder the terms: x + 2y2 = 0 Solving x + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. x + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + 0 = 0 + -2y2 x = 0 + -2y2 Remove the zero: x = -2y2 Simplifying x = -2y2

Solution

x = {0, -2y2}

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