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Simplifying xy(x + y) = x(y2 + -7) + x (x * xy + y * xy) = x(y2 + -7) + x Reorder the terms: (xy2 + x2y) = x(y2 + -7) + x (xy2 + x2y) = x(y2 + -7) + x Reorder the terms: xy2 + x2y = x(-7 + y2) + x xy2 + x2y = (-7 * x + y2 * x) + x xy2 + x2y = (-7x + xy2) + x Reorder the terms: xy2 + x2y = -7x + x + xy2 Combine like terms: -7x + x = -6x xy2 + x2y = -6x + xy2 Add '-1xy2' to each side of the equation. xy2 + -1xy2 + x2y = -6x + xy2 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + x2y = -6x + xy2 + -1xy2 x2y = -6x + xy2 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 x2y = -6x + 0 x2y = -6x Solving x2y = -6x Solving for variable 'x'. Reorder the terms: 6x + x2y = -6x + 6x Combine like terms: -6x + 6x = 0 6x + x2y = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + xy) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(6 + xy)' equal to zero and attempt to solve: Simplifying 6 + xy = 0 Solving 6 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + xy = 0 + -6 Combine like terms: 6 + -6 = 0 0 + xy = 0 + -6 xy = 0 + -6 Combine like terms: 0 + -6 = -6 xy = -6 Divide each side by 'y'. x = -6y-1 Simplifying x = -6y-1Solution
x = {0, -6y-1}
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