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Simplifying 30000x + 67500y + 30000xy = 31875 Reorder the terms: 30000x + 30000xy + 67500y = 31875 Solving 30000x + 30000xy + 67500y = 31875 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67500y' to each side of the equation. 30000x + 30000xy + 67500y + -67500y = 31875 + -67500y Combine like terms: 67500y + -67500y = 0 30000x + 30000xy + 0 = 31875 + -67500y 30000x + 30000xy = 31875 + -67500y Reorder the terms: -31875 + 30000x + 30000xy + 67500y = 31875 + -67500y + -31875 + 67500y Reorder the terms: -31875 + 30000x + 30000xy + 67500y = 31875 + -31875 + -67500y + 67500y Combine like terms: 31875 + -31875 = 0 -31875 + 30000x + 30000xy + 67500y = 0 + -67500y + 67500y -31875 + 30000x + 30000xy + 67500y = -67500y + 67500y Combine like terms: -67500y + 67500y = 0 -31875 + 30000x + 30000xy + 67500y = 0 Factor out the Greatest Common Factor (GCF), '1875'. 1875(-17 + 16x + 16xy + 36y) = 0 Ignore the factor 1875.Subproblem 1
Set the factor '(-17 + 16x + 16xy + 36y)' equal to zero and attempt to solve: Simplifying -17 + 16x + 16xy + 36y = 0 Solving -17 + 16x + 16xy + 36y = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 16x + 16xy + 17 + 36y = 0 + 17 Reorder the terms: -17 + 17 + 16x + 16xy + 36y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 16x + 16xy + 36y = 0 + 17 16x + 16xy + 36y = 0 + 17 Combine like terms: 0 + 17 = 17 16x + 16xy + 36y = 17 Add '-36y' to each side of the equation. 16x + 16xy + 36y + -36y = 17 + -36y Combine like terms: 36y + -36y = 0 16x + 16xy + 0 = 17 + -36y 16x + 16xy = 17 + -36y 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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