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Simplifying 18x + 4xy + -4y = 60 Solving 18x + 4xy + -4y = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 18x + 4xy + -4y + 4y = 60 + 4y Combine like terms: -4y + 4y = 0 18x + 4xy + 0 = 60 + 4y 18x + 4xy = 60 + 4y Reorder the terms: -60 + 18x + 4xy + -4y = 60 + 4y + -60 + -4y Reorder the terms: -60 + 18x + 4xy + -4y = 60 + -60 + 4y + -4y Combine like terms: 60 + -60 = 0 -60 + 18x + 4xy + -4y = 0 + 4y + -4y -60 + 18x + 4xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -60 + 18x + 4xy + -4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + 9x + 2xy + -2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + 9x + 2xy + -2y)' equal to zero and attempt to solve: Simplifying -30 + 9x + 2xy + -2y = 0 Solving -30 + 9x + 2xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 9x + 2xy + 30 + -2y = 0 + 30 Reorder the terms: -30 + 30 + 9x + 2xy + -2y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 9x + 2xy + -2y = 0 + 30 9x + 2xy + -2y = 0 + 30 Combine like terms: 0 + 30 = 30 9x + 2xy + -2y = 30 Add '2y' to each side of the equation. 9x + 2xy + -2y + 2y = 30 + 2y Combine like terms: -2y + 2y = 0 9x + 2xy + 0 = 30 + 2y 9x + 2xy = 30 + 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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