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Simplifying 3x + -3y(2x + -8) = 12 Reorder the terms: 3x + -3y(-8 + 2x) = 12 3x + (-8 * -3y + 2x * -3y) = 12 Reorder the terms: 3x + (-6xy + 24y) = 12 3x + (-6xy + 24y) = 12 Solving 3x + -6xy + 24y = 12 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. 3x + -6xy + 24y + -24y = 12 + -24y Combine like terms: 24y + -24y = 0 3x + -6xy + 0 = 12 + -24y 3x + -6xy = 12 + -24y Reorder the terms: -12 + 3x + -6xy + 24y = 12 + -24y + -12 + 24y Reorder the terms: -12 + 3x + -6xy + 24y = 12 + -12 + -24y + 24y Combine like terms: 12 + -12 = 0 -12 + 3x + -6xy + 24y = 0 + -24y + 24y -12 + 3x + -6xy + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 -12 + 3x + -6xy + 24y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + x + -2xy + 8y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + x + -2xy + 8y)' equal to zero and attempt to solve: Simplifying -4 + x + -2xy + 8y = 0 Solving -4 + x + -2xy + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + -2xy + 4 + 8y = 0 + 4 Reorder the terms: -4 + 4 + x + -2xy + 8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + -2xy + 8y = 0 + 4 x + -2xy + 8y = 0 + 4 Combine like terms: 0 + 4 = 4 x + -2xy + 8y = 4 Add '-8y' to each side of the equation. x + -2xy + 8y + -8y = 4 + -8y Combine like terms: 8y + -8y = 0 x + -2xy + 0 = 4 + -8y x + -2xy = 4 + -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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