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Simplifying (4x + -820)(1150 + -5y) = 0 Reorder the terms: (-820 + 4x)(1150 + -5y) = 0 Multiply (-820 + 4x) * (1150 + -5y) (-820(1150 + -5y) + 4x * (1150 + -5y)) = 0 ((1150 * -820 + -5y * -820) + 4x * (1150 + -5y)) = 0 ((-943000 + 4100y) + 4x * (1150 + -5y)) = 0 (-943000 + 4100y + (1150 * 4x + -5y * 4x)) = 0 (-943000 + 4100y + (4600x + -20xy)) = 0 Reorder the terms: (-943000 + 4600x + -20xy + 4100y) = 0 (-943000 + 4600x + -20xy + 4100y) = 0 Solving -943000 + 4600x + -20xy + 4100y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '943000' to each side of the equation. -943000 + 4600x + -20xy + 943000 + 4100y = 0 + 943000 Reorder the terms: -943000 + 943000 + 4600x + -20xy + 4100y = 0 + 943000 Combine like terms: -943000 + 943000 = 0 0 + 4600x + -20xy + 4100y = 0 + 943000 4600x + -20xy + 4100y = 0 + 943000 Combine like terms: 0 + 943000 = 943000 4600x + -20xy + 4100y = 943000 Add '-4100y' to each side of the equation. 4600x + -20xy + 4100y + -4100y = 943000 + -4100y Combine like terms: 4100y + -4100y = 0 4600x + -20xy + 0 = 943000 + -4100y 4600x + -20xy = 943000 + -4100y Reorder the terms: -943000 + 4600x + -20xy + 4100y = 943000 + -4100y + -943000 + 4100y Reorder the terms: -943000 + 4600x + -20xy + 4100y = 943000 + -943000 + -4100y + 4100y Combine like terms: 943000 + -943000 = 0 -943000 + 4600x + -20xy + 4100y = 0 + -4100y + 4100y -943000 + 4600x + -20xy + 4100y = -4100y + 4100y Combine like terms: -4100y + 4100y = 0 -943000 + 4600x + -20xy + 4100y = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-47150 + 230x + -1xy + 205y) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-47150 + 230x + -1xy + 205y)' equal to zero and attempt to solve: Simplifying -47150 + 230x + -1xy + 205y = 0 Solving -47150 + 230x + -1xy + 205y = 0 Move all terms containing x to the left, all other terms to the right. Add '47150' to each side of the equation. -47150 + 230x + -1xy + 47150 + 205y = 0 + 47150 Reorder the terms: -47150 + 47150 + 230x + -1xy + 205y = 0 + 47150 Combine like terms: -47150 + 47150 = 0 0 + 230x + -1xy + 205y = 0 + 47150 230x + -1xy + 205y = 0 + 47150 Combine like terms: 0 + 47150 = 47150 230x + -1xy + 205y = 47150 Add '-205y' to each side of the equation. 230x + -1xy + 205y + -205y = 47150 + -205y Combine like terms: 205y + -205y = 0 230x + -1xy + 0 = 47150 + -205y 230x + -1xy = 47150 + -205y 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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