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Simplifying 4xy + 8x = 36y + 72 Reorder the terms: 8x + 4xy = 36y + 72 Reorder the terms: 8x + 4xy = 72 + 36y Solving 8x + 4xy = 72 + 36y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -72 + 8x + 4xy + -36y = 72 + 36y + -72 + -36y Reorder the terms: -72 + 8x + 4xy + -36y = 72 + -72 + 36y + -36y Combine like terms: 72 + -72 = 0 -72 + 8x + 4xy + -36y = 0 + 36y + -36y -72 + 8x + 4xy + -36y = 36y + -36y Combine like terms: 36y + -36y = 0 -72 + 8x + 4xy + -36y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + 2x + xy + -9y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-18 + 2x + xy + -9y)' equal to zero and attempt to solve: Simplifying -18 + 2x + xy + -9y = 0 Solving -18 + 2x + xy + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2x + xy + 18 + -9y = 0 + 18 Reorder the terms: -18 + 18 + 2x + xy + -9y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x + xy + -9y = 0 + 18 2x + xy + -9y = 0 + 18 Combine like terms: 0 + 18 = 18 2x + xy + -9y = 18 Add '9y' to each side of the equation. 2x + xy + -9y + 9y = 18 + 9y Combine like terms: -9y + 9y = 0 2x + xy + 0 = 18 + 9y 2x + xy = 18 + 9y 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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