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Simplifying -6x + 3y(2x + -8) = -15 Reorder the terms: -6x + 3y(-8 + 2x) = -15 -6x + (-8 * 3y + 2x * 3y) = -15 Reorder the terms: -6x + (6xy + -24y) = -15 -6x + (6xy + -24y) = -15 Solving -6x + 6xy + -24y = -15 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. -6x + 6xy + -24y + 24y = -15 + 24y Combine like terms: -24y + 24y = 0 -6x + 6xy + 0 = -15 + 24y -6x + 6xy = -15 + 24y Reorder the terms: 15 + -6x + 6xy + -24y = -15 + 24y + 15 + -24y Reorder the terms: 15 + -6x + 6xy + -24y = -15 + 15 + 24y + -24y Combine like terms: -15 + 15 = 0 15 + -6x + 6xy + -24y = 0 + 24y + -24y 15 + -6x + 6xy + -24y = 24y + -24y Combine like terms: 24y + -24y = 0 15 + -6x + 6xy + -24y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -2x + 2xy + -8y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -2x + 2xy + -8y)' equal to zero and attempt to solve: Simplifying 5 + -2x + 2xy + -8y = 0 Solving 5 + -2x + 2xy + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2x + 2xy + -5 + -8y = 0 + -5 Reorder the terms: 5 + -5 + -2x + 2xy + -8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + 2xy + -8y = 0 + -5 -2x + 2xy + -8y = 0 + -5 Combine like terms: 0 + -5 = -5 -2x + 2xy + -8y = -5 Add '8y' to each side of the equation. -2x + 2xy + -8y + 8y = -5 + 8y Combine like terms: -8y + 8y = 0 -2x + 2xy + 0 = -5 + 8y -2x + 2xy = -5 + 8y 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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