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Simplifying (64x + 9)(54y + 9) = 0 Reorder the terms: (9 + 64x)(54y + 9) = 0 Reorder the terms: (9 + 64x)(9 + 54y) = 0 Multiply (9 + 64x) * (9 + 54y) (9(9 + 54y) + 64x * (9 + 54y)) = 0 ((9 * 9 + 54y * 9) + 64x * (9 + 54y)) = 0 ((81 + 486y) + 64x * (9 + 54y)) = 0 (81 + 486y + (9 * 64x + 54y * 64x)) = 0 (81 + 486y + (576x + 3456xy)) = 0 Reorder the terms: (81 + 576x + 3456xy + 486y) = 0 (81 + 576x + 3456xy + 486y) = 0 Solving 81 + 576x + 3456xy + 486y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 576x + 3456xy + -81 + 486y = 0 + -81 Reorder the terms: 81 + -81 + 576x + 3456xy + 486y = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 576x + 3456xy + 486y = 0 + -81 576x + 3456xy + 486y = 0 + -81 Combine like terms: 0 + -81 = -81 576x + 3456xy + 486y = -81 Add '-486y' to each side of the equation. 576x + 3456xy + 486y + -486y = -81 + -486y Combine like terms: 486y + -486y = 0 576x + 3456xy + 0 = -81 + -486y 576x + 3456xy = -81 + -486y Reorder the terms: 81 + 576x + 3456xy + 486y = -81 + -486y + 81 + 486y Reorder the terms: 81 + 576x + 3456xy + 486y = -81 + 81 + -486y + 486y Combine like terms: -81 + 81 = 0 81 + 576x + 3456xy + 486y = 0 + -486y + 486y 81 + 576x + 3456xy + 486y = -486y + 486y Combine like terms: -486y + 486y = 0 81 + 576x + 3456xy + 486y = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(9 + 64x + 384xy + 54y) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(9 + 64x + 384xy + 54y)' equal to zero and attempt to solve: Simplifying 9 + 64x + 384xy + 54y = 0 Solving 9 + 64x + 384xy + 54y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 64x + 384xy + -9 + 54y = 0 + -9 Reorder the terms: 9 + -9 + 64x + 384xy + 54y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 64x + 384xy + 54y = 0 + -9 64x + 384xy + 54y = 0 + -9 Combine like terms: 0 + -9 = -9 64x + 384xy + 54y = -9 Add '-54y' to each side of the equation. 64x + 384xy + 54y + -54y = -9 + -54y Combine like terms: 54y + -54y = 0 64x + 384xy + 0 = -9 + -54y 64x + 384xy = -9 + -54y 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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