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Simplifying 20(x + 5) * y2 + 108(x + 5) * y + -72(x + 5) = 0 Reorder the terms: 20(5 + x) * y2 + 108(x + 5) * y + -72(x + 5) = 0 Reorder the terms for easier multiplication: 20y2(5 + x) + 108(x + 5) * y + -72(x + 5) = 0 (5 * 20y2 + x * 20y2) + 108(x + 5) * y + -72(x + 5) = 0 Reorder the terms: (20xy2 + 100y2) + 108(x + 5) * y + -72(x + 5) = 0 (20xy2 + 100y2) + 108(x + 5) * y + -72(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + 108(5 + x) * y + -72(x + 5) = 0 Reorder the terms for easier multiplication: 20xy2 + 100y2 + 108y(5 + x) + -72(x + 5) = 0 20xy2 + 100y2 + (5 * 108y + x * 108y) + -72(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + (108xy + 540y) + -72(x + 5) = 0 20xy2 + 100y2 + (108xy + 540y) + -72(x + 5) = 0 Reorder the terms: 20xy2 + 100y2 + 108xy + 540y + -72(5 + x) = 0 20xy2 + 100y2 + 108xy + 540y + (5 * -72 + x * -72) = 0 20xy2 + 100y2 + 108xy + 540y + (-360 + -72x) = 0 Reorder the terms: -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 Solving -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '360' to each side of the equation. -360 + -72x + 108xy + 20xy2 + 540y + 360 + 100y2 = 0 + 360 Reorder the terms: -360 + 360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 + 360 Combine like terms: -360 + 360 = 0 0 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 + 360 -72x + 108xy + 20xy2 + 540y + 100y2 = 0 + 360 Combine like terms: 0 + 360 = 360 -72x + 108xy + 20xy2 + 540y + 100y2 = 360 Add '-540y' to each side of the equation. -72x + 108xy + 20xy2 + 540y + -540y + 100y2 = 360 + -540y Combine like terms: 540y + -540y = 0 -72x + 108xy + 20xy2 + 0 + 100y2 = 360 + -540y -72x + 108xy + 20xy2 + 100y2 = 360 + -540y Add '-100y2' to each side of the equation. -72x + 108xy + 20xy2 + 100y2 + -100y2 = 360 + -540y + -100y2 Combine like terms: 100y2 + -100y2 = 0 -72x + 108xy + 20xy2 + 0 = 360 + -540y + -100y2 -72x + 108xy + 20xy2 = 360 + -540y + -100y2 Reorder the terms: -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 360 + -540y + -100y2 + -360 + 540y + 100y2 Reorder the terms: -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 360 + -360 + -540y + 540y + -100y2 + 100y2 Combine like terms: 360 + -360 = 0 -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 + -540y + 540y + -100y2 + 100y2 -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = -540y + 540y + -100y2 + 100y2 Combine like terms: -540y + 540y = 0 -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 + -100y2 + 100y2 -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = -100y2 + 100y2 Combine like terms: -100y2 + 100y2 = 0 -360 + -72x + 108xy + 20xy2 + 540y + 100y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-90 + -18x + 27xy + 5xy2 + 135y + 25y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-90 + -18x + 27xy + 5xy2 + 135y + 25y2)' equal to zero and attempt to solve: Simplifying -90 + -18x + 27xy + 5xy2 + 135y + 25y2 = 0 Solving -90 + -18x + 27xy + 5xy2 + 135y + 25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + -18x + 27xy + 5xy2 + 135y + 90 + 25y2 = 0 + 90 Reorder the terms: -90 + 90 + -18x + 27xy + 5xy2 + 135y + 25y2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -18x + 27xy + 5xy2 + 135y + 25y2 = 0 + 90 -18x + 27xy + 5xy2 + 135y + 25y2 = 0 + 90 Combine like terms: 0 + 90 = 90 -18x + 27xy + 5xy2 + 135y + 25y2 = 90 Add '-135y' to each side of the equation. -18x + 27xy + 5xy2 + 135y + -135y + 25y2 = 90 + -135y Combine like terms: 135y + -135y = 0 -18x + 27xy + 5xy2 + 0 + 25y2 = 90 + -135y -18x + 27xy + 5xy2 + 25y2 = 90 + -135y Add '-25y2' to each side of the equation. -18x + 27xy + 5xy2 + 25y2 + -25y2 = 90 + -135y + -25y2 Combine like terms: 25y2 + -25y2 = 0 -18x + 27xy + 5xy2 + 0 = 90 + -135y + -25y2 -18x + 27xy + 5xy2 = 90 + -135y + -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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