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Simplifying 8(x + 6) * y2 + 36(x + 6) * y + -72(x + 6) = 0 Reorder the terms: 8(6 + x) * y2 + 36(x + 6) * y + -72(x + 6) = 0 Reorder the terms for easier multiplication: 8y2(6 + x) + 36(x + 6) * y + -72(x + 6) = 0 (6 * 8y2 + x * 8y2) + 36(x + 6) * y + -72(x + 6) = 0 Reorder the terms: (8xy2 + 48y2) + 36(x + 6) * y + -72(x + 6) = 0 (8xy2 + 48y2) + 36(x + 6) * y + -72(x + 6) = 0 Reorder the terms: 8xy2 + 48y2 + 36(6 + x) * y + -72(x + 6) = 0 Reorder the terms for easier multiplication: 8xy2 + 48y2 + 36y(6 + x) + -72(x + 6) = 0 8xy2 + 48y2 + (6 * 36y + x * 36y) + -72(x + 6) = 0 Reorder the terms: 8xy2 + 48y2 + (36xy + 216y) + -72(x + 6) = 0 8xy2 + 48y2 + (36xy + 216y) + -72(x + 6) = 0 Reorder the terms: 8xy2 + 48y2 + 36xy + 216y + -72(6 + x) = 0 8xy2 + 48y2 + 36xy + 216y + (6 * -72 + x * -72) = 0 8xy2 + 48y2 + 36xy + 216y + (-432 + -72x) = 0 Reorder the terms: -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 Solving -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '432' to each side of the equation. -432 + -72x + 36xy + 8xy2 + 216y + 432 + 48y2 = 0 + 432 Reorder the terms: -432 + 432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 + 432 Combine like terms: -432 + 432 = 0 0 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 + 432 -72x + 36xy + 8xy2 + 216y + 48y2 = 0 + 432 Combine like terms: 0 + 432 = 432 -72x + 36xy + 8xy2 + 216y + 48y2 = 432 Add '-216y' to each side of the equation. -72x + 36xy + 8xy2 + 216y + -216y + 48y2 = 432 + -216y Combine like terms: 216y + -216y = 0 -72x + 36xy + 8xy2 + 0 + 48y2 = 432 + -216y -72x + 36xy + 8xy2 + 48y2 = 432 + -216y Add '-48y2' to each side of the equation. -72x + 36xy + 8xy2 + 48y2 + -48y2 = 432 + -216y + -48y2 Combine like terms: 48y2 + -48y2 = 0 -72x + 36xy + 8xy2 + 0 = 432 + -216y + -48y2 -72x + 36xy + 8xy2 = 432 + -216y + -48y2 Reorder the terms: -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 432 + -216y + -48y2 + -432 + 216y + 48y2 Reorder the terms: -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 432 + -432 + -216y + 216y + -48y2 + 48y2 Combine like terms: 432 + -432 = 0 -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 + -216y + 216y + -48y2 + 48y2 -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = -216y + 216y + -48y2 + 48y2 Combine like terms: -216y + 216y = 0 -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 + -48y2 + 48y2 -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = -48y2 + 48y2 Combine like terms: -48y2 + 48y2 = 0 -432 + -72x + 36xy + 8xy2 + 216y + 48y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-108 + -18x + 9xy + 2xy2 + 54y + 12y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-108 + -18x + 9xy + 2xy2 + 54y + 12y2)' equal to zero and attempt to solve: Simplifying -108 + -18x + 9xy + 2xy2 + 54y + 12y2 = 0 Solving -108 + -18x + 9xy + 2xy2 + 54y + 12y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + -18x + 9xy + 2xy2 + 54y + 108 + 12y2 = 0 + 108 Reorder the terms: -108 + 108 + -18x + 9xy + 2xy2 + 54y + 12y2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -18x + 9xy + 2xy2 + 54y + 12y2 = 0 + 108 -18x + 9xy + 2xy2 + 54y + 12y2 = 0 + 108 Combine like terms: 0 + 108 = 108 -18x + 9xy + 2xy2 + 54y + 12y2 = 108 Add '-54y' to each side of the equation. -18x + 9xy + 2xy2 + 54y + -54y + 12y2 = 108 + -54y Combine like terms: 54y + -54y = 0 -18x + 9xy + 2xy2 + 0 + 12y2 = 108 + -54y -18x + 9xy + 2xy2 + 12y2 = 108 + -54y Add '-12y2' to each side of the equation. -18x + 9xy + 2xy2 + 12y2 + -12y2 = 108 + -54y + -12y2 Combine like terms: 12y2 + -12y2 = 0 -18x + 9xy + 2xy2 + 0 = 108 + -54y + -12y2 -18x + 9xy + 2xy2 = 108 + -54y + -12y2 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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