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Simplifying 42000x + 42000xy + 96000y = 55500 Solving 42000x + 42000xy + 96000y = 55500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96000y' to each side of the equation. 42000x + 42000xy + 96000y + -96000y = 55500 + -96000y Combine like terms: 96000y + -96000y = 0 42000x + 42000xy + 0 = 55500 + -96000y 42000x + 42000xy = 55500 + -96000y Reorder the terms: -55500 + 42000x + 42000xy + 96000y = 55500 + -96000y + -55500 + 96000y Reorder the terms: -55500 + 42000x + 42000xy + 96000y = 55500 + -55500 + -96000y + 96000y Combine like terms: 55500 + -55500 = 0 -55500 + 42000x + 42000xy + 96000y = 0 + -96000y + 96000y -55500 + 42000x + 42000xy + 96000y = -96000y + 96000y Combine like terms: -96000y + 96000y = 0 -55500 + 42000x + 42000xy + 96000y = 0 Factor out the Greatest Common Factor (GCF), '1500'. 1500(-37 + 28x + 28xy + 64y) = 0 Ignore the factor 1500.Subproblem 1
Set the factor '(-37 + 28x + 28xy + 64y)' equal to zero and attempt to solve: Simplifying -37 + 28x + 28xy + 64y = 0 Solving -37 + 28x + 28xy + 64y = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 28x + 28xy + 37 + 64y = 0 + 37 Reorder the terms: -37 + 37 + 28x + 28xy + 64y = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 28x + 28xy + 64y = 0 + 37 28x + 28xy + 64y = 0 + 37 Combine like terms: 0 + 37 = 37 28x + 28xy + 64y = 37 Add '-64y' to each side of the equation. 28x + 28xy + 64y + -64y = 37 + -64y Combine like terms: 64y + -64y = 0 28x + 28xy + 0 = 37 + -64y 28x + 28xy = 37 + -64y 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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