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Simplifying 20(x + 5) * y2 + 68(x + 5) * y + -48(x + 5) = 0 Reorder the terms: 20(5 + x) * y2 + 68(x + 5) * y + -48(x + 5) = 0 Reorder the terms for easier multiplication: 20y2(5 + x) + 68(x + 5) * y + -48(x + 5) = 0 (5 * 20y2 + x * 20y2) + 68(x + 5) * y + -48(x + 5) = 0 Reorder the terms: (20xy2 + 100y2) + 68(x + 5) * y + -48(x + 5) = 0 (20xy2 + 100y2) + 68(x + 5) * y + -48(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + 68(5 + x) * y + -48(x + 5) = 0 Reorder the terms for easier multiplication: 20xy2 + 100y2 + 68y(5 + x) + -48(x + 5) = 0 20xy2 + 100y2 + (5 * 68y + x * 68y) + -48(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + (68xy + 340y) + -48(x + 5) = 0 20xy2 + 100y2 + (68xy + 340y) + -48(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + 68xy + 340y + -48(5 + x) = 0 20xy2 + 100y2 + 68xy + 340y + (5 * -48 + x * -48) = 0 20xy2 + 100y2 + 68xy + 340y + (-240 + -48x) = 0 Reorder the terms: -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 Solving -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + -48x + 68xy + 20xy2 + 340y + 240 + 100y2 = 0 + 240 Reorder the terms: -240 + 240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 + 240 Combine like terms: -240 + 240 = 0 0 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 + 240 -48x + 68xy + 20xy2 + 340y + 100y2 = 0 + 240 Combine like terms: 0 + 240 = 240 -48x + 68xy + 20xy2 + 340y + 100y2 = 240 Add '-340y' to each side of the equation. -48x + 68xy + 20xy2 + 340y + -340y + 100y2 = 240 + -340y Combine like terms: 340y + -340y = 0 -48x + 68xy + 20xy2 + 0 + 100y2 = 240 + -340y -48x + 68xy + 20xy2 + 100y2 = 240 + -340y Add '-100y2' to each side of the equation. -48x + 68xy + 20xy2 + 100y2 + -100y2 = 240 + -340y + -100y2 Combine like terms: 100y2 + -100y2 = 0 -48x + 68xy + 20xy2 + 0 = 240 + -340y + -100y2 -48x + 68xy + 20xy2 = 240 + -340y + -100y2 Reorder the terms: -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 240 + -340y + -100y2 + -240 + 340y + 100y2 Reorder the terms: -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 240 + -240 + -340y + 340y + -100y2 + 100y2 Combine like terms: 240 + -240 = 0 -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 + -340y + 340y + -100y2 + 100y2 -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = -340y + 340y + -100y2 + 100y2 Combine like terms: -340y + 340y = 0 -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 + -100y2 + 100y2 -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = -100y2 + 100y2 Combine like terms: -100y2 + 100y2 = 0 -240 + -48x + 68xy + 20xy2 + 340y + 100y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-60 + -12x + 17xy + 5xy2 + 85y + 25y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-60 + -12x + 17xy + 5xy2 + 85y + 25y2)' equal to zero and attempt to solve: Simplifying -60 + -12x + 17xy + 5xy2 + 85y + 25y2 = 0 Solving -60 + -12x + 17xy + 5xy2 + 85y + 25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -12x + 17xy + 5xy2 + 85y + 60 + 25y2 = 0 + 60 Reorder the terms: -60 + 60 + -12x + 17xy + 5xy2 + 85y + 25y2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -12x + 17xy + 5xy2 + 85y + 25y2 = 0 + 60 -12x + 17xy + 5xy2 + 85y + 25y2 = 0 + 60 Combine like terms: 0 + 60 = 60 -12x + 17xy + 5xy2 + 85y + 25y2 = 60 Add '-85y' to each side of the equation. -12x + 17xy + 5xy2 + 85y + -85y + 25y2 = 60 + -85y Combine like terms: 85y + -85y = 0 -12x + 17xy + 5xy2 + 0 + 25y2 = 60 + -85y -12x + 17xy + 5xy2 + 25y2 = 60 + -85y Add '-25y2' to each side of the equation. -12x + 17xy + 5xy2 + 25y2 + -25y2 = 60 + -85y + -25y2 Combine like terms: 25y2 + -25y2 = 0 -12x + 17xy + 5xy2 + 0 = 60 + -85y + -25y2 -12x + 17xy + 5xy2 = 60 + -85y + -25y2 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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