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Simplifying 2(60 + -1y) * x + 2(60 + -1y) * y = 9600 Reorder the terms for easier multiplication: 2x(60 + -1y) + 2(60 + -1y) * y = 9600 (60 * 2x + -1y * 2x) + 2(60 + -1y) * y = 9600 (120x + -2xy) + 2(60 + -1y) * y = 9600 Reorder the terms for easier multiplication: 120x + -2xy + 2y(60 + -1y) = 9600 120x + -2xy + (60 * 2y + -1y * 2y) = 9600 120x + -2xy + (120y + -2y2) = 9600 Solving 120x + -2xy + 120y + -2y2 = 9600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120y' to each side of the equation. 120x + -2xy + 120y + -120y + -2y2 = 9600 + -120y Combine like terms: 120y + -120y = 0 120x + -2xy + 0 + -2y2 = 9600 + -120y 120x + -2xy + -2y2 = 9600 + -120y Add '2y2' to each side of the equation. 120x + -2xy + -2y2 + 2y2 = 9600 + -120y + 2y2 Combine like terms: -2y2 + 2y2 = 0 120x + -2xy + 0 = 9600 + -120y + 2y2 120x + -2xy = 9600 + -120y + 2y2 Reorder the terms: -9600 + 120x + -2xy + 120y + -2y2 = 9600 + -120y + 2y2 + -9600 + 120y + -2y2 Reorder the terms: -9600 + 120x + -2xy + 120y + -2y2 = 9600 + -9600 + -120y + 120y + 2y2 + -2y2 Combine like terms: 9600 + -9600 = 0 -9600 + 120x + -2xy + 120y + -2y2 = 0 + -120y + 120y + 2y2 + -2y2 -9600 + 120x + -2xy + 120y + -2y2 = -120y + 120y + 2y2 + -2y2 Combine like terms: -120y + 120y = 0 -9600 + 120x + -2xy + 120y + -2y2 = 0 + 2y2 + -2y2 -9600 + 120x + -2xy + 120y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -9600 + 120x + -2xy + 120y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4800 + 60x + -1xy + 60y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4800 + 60x + -1xy + 60y + -1y2)' equal to zero and attempt to solve: Simplifying -4800 + 60x + -1xy + 60y + -1y2 = 0 Solving -4800 + 60x + -1xy + 60y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4800' to each side of the equation. -4800 + 60x + -1xy + 60y + 4800 + -1y2 = 0 + 4800 Reorder the terms: -4800 + 4800 + 60x + -1xy + 60y + -1y2 = 0 + 4800 Combine like terms: -4800 + 4800 = 0 0 + 60x + -1xy + 60y + -1y2 = 0 + 4800 60x + -1xy + 60y + -1y2 = 0 + 4800 Combine like terms: 0 + 4800 = 4800 60x + -1xy + 60y + -1y2 = 4800 Add '-60y' to each side of the equation. 60x + -1xy + 60y + -60y + -1y2 = 4800 + -60y Combine like terms: 60y + -60y = 0 60x + -1xy + 0 + -1y2 = 4800 + -60y 60x + -1xy + -1y2 = 4800 + -60y Add 'y2' to each side of the equation. 60x + -1xy + -1y2 + y2 = 4800 + -60y + y2 Combine like terms: -1y2 + y2 = 0 60x + -1xy + 0 = 4800 + -60y + y2 60x + -1xy = 4800 + -60y + y2 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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