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Simplifying (x + -50) * 500(y + -30) = 750000 Reorder the terms: (-50 + x) * 500(y + -30) = 750000 Reorder the terms: (-50 + x) * 500(-30 + y) = 750000 Reorder the terms for easier multiplication: 500(-50 + x)(-30 + y) = 750000 Multiply (-50 + x) * (-30 + y) 500(-50(-30 + y) + x(-30 + y)) = 750000 500((-30 * -50 + y * -50) + x(-30 + y)) = 750000 500((1500 + -50y) + x(-30 + y)) = 750000 500(1500 + -50y + (-30 * x + y * x)) = 750000 500(1500 + -50y + (-30x + xy)) = 750000 Reorder the terms: 500(1500 + -30x + xy + -50y) = 750000 500(1500 + -30x + xy + -50y) = 750000 (1500 * 500 + -30x * 500 + xy * 500 + -50y * 500) = 750000 (750000 + -15000x + 500xy + -25000y) = 750000 Add '-750000' to each side of the equation. 750000 + -15000x + 500xy + -750000 + -25000y = 750000 + -750000 Reorder the terms: 750000 + -750000 + -15000x + 500xy + -25000y = 750000 + -750000 Combine like terms: 750000 + -750000 = 0 0 + -15000x + 500xy + -25000y = 750000 + -750000 -15000x + 500xy + -25000y = 750000 + -750000 Combine like terms: 750000 + -750000 = 0 -15000x + 500xy + -25000y = 0 Solving -15000x + 500xy + -25000y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25000y' to each side of the equation. -15000x + 500xy + -25000y + 25000y = 0 + 25000y Combine like terms: -25000y + 25000y = 0 -15000x + 500xy + 0 = 0 + 25000y -15000x + 500xy = 0 + 25000y Remove the zero: -15000x + 500xy = 25000y Combine like terms: 25000y + -25000y = 0 -15000x + 500xy + -25000y = 0 Factor out the Greatest Common Factor (GCF), '500'. 500(-30x + xy + -50y) = 0 Ignore the factor 500.Subproblem 1
Set the factor '(-30x + xy + -50y)' equal to zero and attempt to solve: Simplifying -30x + xy + -50y = 0 Solving -30x + xy + -50y = 0 Move all terms containing x to the left, all other terms to the right. Add '50y' to each side of the equation. -30x + xy + -50y + 50y = 0 + 50y Combine like terms: -50y + 50y = 0 -30x + xy + 0 = 0 + 50y -30x + xy = 0 + 50y Remove the zero: -30x + xy = 50y 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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