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Simplifying -2xy(x + 5 + -2y) = 0 Reorder the terms: -2xy(5 + x + -2y) = 0 (5 * -2xy + x * -2xy + -2y * -2xy) = 0 Reorder the terms: (-10xy + 4xy2 + -2x2y) = 0 (-10xy + 4xy2 + -2x2y) = 0 Solving -10xy + 4xy2 + -2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5 + 2y + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + 2y + -1x)' equal to zero and attempt to solve: Simplifying -5 + 2y + -1x = 0 Reorder the terms: -5 + -1x + 2y = 0 Solving -5 + -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1x + 5 + 2y = 0 + 5 Reorder the terms: -5 + 5 + -1x + 2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x + 2y = 0 + 5 -1x + 2y = 0 + 5 Combine like terms: 0 + 5 = 5 -1x + 2y = 5 Add '-2y' to each side of the equation. -1x + 2y + -2y = 5 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 5 + -2y -1x = 5 + -2y Divide each side by '-1'. x = -5 + 2y Simplifying x = -5 + 2ySolution
x = {-5 + 2y}
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