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Simplifying (-9x + -6) + -4y(-9x + -6) = 0 Reorder the terms: (-6 + -9x) + -4y(-9x + -6) = 0 Remove parenthesis around (-6 + -9x) -6 + -9x + -4y(-9x + -6) = 0 Reorder the terms: -6 + -9x + -4y(-6 + -9x) = 0 -6 + -9x + (-6 * -4y + -9x * -4y) = 0 Reorder the terms: -6 + -9x + (36xy + 24y) = 0 -6 + -9x + (36xy + 24y) = 0 Solving -6 + -9x + 36xy + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -9x + 36xy + 6 + 24y = 0 + 6 Reorder the terms: -6 + 6 + -9x + 36xy + 24y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -9x + 36xy + 24y = 0 + 6 -9x + 36xy + 24y = 0 + 6 Combine like terms: 0 + 6 = 6 -9x + 36xy + 24y = 6 Add '-24y' to each side of the equation. -9x + 36xy + 24y + -24y = 6 + -24y Combine like terms: 24y + -24y = 0 -9x + 36xy + 0 = 6 + -24y -9x + 36xy = 6 + -24y Reorder the terms: -6 + -9x + 36xy + 24y = 6 + -24y + -6 + 24y Reorder the terms: -6 + -9x + 36xy + 24y = 6 + -6 + -24y + 24y Combine like terms: 6 + -6 = 0 -6 + -9x + 36xy + 24y = 0 + -24y + 24y -6 + -9x + 36xy + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 -6 + -9x + 36xy + 24y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -3x + 12xy + 8y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -3x + 12xy + 8y)' equal to zero and attempt to solve: Simplifying -2 + -3x + 12xy + 8y = 0 Solving -2 + -3x + 12xy + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 12xy + 2 + 8y = 0 + 2 Reorder the terms: -2 + 2 + -3x + 12xy + 8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 12xy + 8y = 0 + 2 -3x + 12xy + 8y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 12xy + 8y = 2 Add '-8y' to each side of the equation. -3x + 12xy + 8y + -8y = 2 + -8y Combine like terms: 8y + -8y = 0 -3x + 12xy + 0 = 2 + -8y -3x + 12xy = 2 + -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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