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Simplifying -12x(5 + -2y) + 24y = -60 (5 * -12x + -2y * -12x) + 24y = -60 (-60x + 24xy) + 24y = -60 Solving -60x + 24xy + 24y = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. -60x + 24xy + 24y + -24y = -60 + -24y Combine like terms: 24y + -24y = 0 -60x + 24xy + 0 = -60 + -24y -60x + 24xy = -60 + -24y Reorder the terms: 60 + -60x + 24xy + 24y = -60 + -24y + 60 + 24y Reorder the terms: 60 + -60x + 24xy + 24y = -60 + 60 + -24y + 24y Combine like terms: -60 + 60 = 0 60 + -60x + 24xy + 24y = 0 + -24y + 24y 60 + -60x + 24xy + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 60 + -60x + 24xy + 24y = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(5 + -5x + 2xy + 2y) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(5 + -5x + 2xy + 2y)' equal to zero and attempt to solve: Simplifying 5 + -5x + 2xy + 2y = 0 Solving 5 + -5x + 2xy + 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 + -5x + 2xy + -5 + 2y = 0 + -5 Reorder the terms: 5 + -5 + -5x + 2xy + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x + 2xy + 2y = 0 + -5 -5x + 2xy + 2y = 0 + -5 Combine like terms: 0 + -5 = -5 -5x + 2xy + 2y = -5 Add '-2y' to each side of the equation. -5x + 2xy + 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 -5x + 2xy + 0 = -5 + -2y -5x + 2xy = -5 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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