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Simplifying (9x + 12) + y(12x + -6) = 180 Reorder the terms: (12 + 9x) + y(12x + -6) = 180 Remove parenthesis around (12 + 9x) 12 + 9x + y(12x + -6) = 180 Reorder the terms: 12 + 9x + y(-6 + 12x) = 180 12 + 9x + (-6 * y + 12x * y) = 180 Reorder the terms: 12 + 9x + (12xy + -6y) = 180 12 + 9x + (12xy + -6y) = 180 Solving 12 + 9x + 12xy + -6y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 9x + 12xy + -12 + -6y = 180 + -12 Reorder the terms: 12 + -12 + 9x + 12xy + -6y = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 9x + 12xy + -6y = 180 + -12 9x + 12xy + -6y = 180 + -12 Combine like terms: 180 + -12 = 168 9x + 12xy + -6y = 168 Add '6y' to each side of the equation. 9x + 12xy + -6y + 6y = 168 + 6y Combine like terms: -6y + 6y = 0 9x + 12xy + 0 = 168 + 6y 9x + 12xy = 168 + 6y Reorder the terms: -168 + 9x + 12xy + -6y = 168 + 6y + -168 + -6y Reorder the terms: -168 + 9x + 12xy + -6y = 168 + -168 + 6y + -6y Combine like terms: 168 + -168 = 0 -168 + 9x + 12xy + -6y = 0 + 6y + -6y -168 + 9x + 12xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -168 + 9x + 12xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + 3x + 4xy + -2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-56 + 3x + 4xy + -2y)' equal to zero and attempt to solve: Simplifying -56 + 3x + 4xy + -2y = 0 Solving -56 + 3x + 4xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 3x + 4xy + 56 + -2y = 0 + 56 Reorder the terms: -56 + 56 + 3x + 4xy + -2y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 3x + 4xy + -2y = 0 + 56 3x + 4xy + -2y = 0 + 56 Combine like terms: 0 + 56 = 56 3x + 4xy + -2y = 56 Add '2y' to each side of the equation. 3x + 4xy + -2y + 2y = 56 + 2y Combine like terms: -2y + 2y = 0 3x + 4xy + 0 = 56 + 2y 3x + 4xy = 56 + 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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