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Simplifying (3y + 31)(6x + 8) = 136 Reorder the terms: (31 + 3y)(6x + 8) = 136 Reorder the terms: (31 + 3y)(8 + 6x) = 136 Multiply (31 + 3y) * (8 + 6x) (31(8 + 6x) + 3y * (8 + 6x)) = 136 ((8 * 31 + 6x * 31) + 3y * (8 + 6x)) = 136 ((248 + 186x) + 3y * (8 + 6x)) = 136 (248 + 186x + (8 * 3y + 6x * 3y)) = 136 Reorder the terms: (248 + 186x + (18xy + 24y)) = 136 (248 + 186x + (18xy + 24y)) = 136 (248 + 186x + 18xy + 24y) = 136 Solving 248 + 186x + 18xy + 24y = 136 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-248' to each side of the equation. 248 + 186x + 18xy + -248 + 24y = 136 + -248 Reorder the terms: 248 + -248 + 186x + 18xy + 24y = 136 + -248 Combine like terms: 248 + -248 = 0 0 + 186x + 18xy + 24y = 136 + -248 186x + 18xy + 24y = 136 + -248 Combine like terms: 136 + -248 = -112 186x + 18xy + 24y = -112 Add '-24y' to each side of the equation. 186x + 18xy + 24y + -24y = -112 + -24y Combine like terms: 24y + -24y = 0 186x + 18xy + 0 = -112 + -24y 186x + 18xy = -112 + -24y Reorder the terms: 112 + 186x + 18xy + 24y = -112 + -24y + 112 + 24y Reorder the terms: 112 + 186x + 18xy + 24y = -112 + 112 + -24y + 24y Combine like terms: -112 + 112 = 0 112 + 186x + 18xy + 24y = 0 + -24y + 24y 112 + 186x + 18xy + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 112 + 186x + 18xy + 24y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(56 + 93x + 9xy + 12y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(56 + 93x + 9xy + 12y)' equal to zero and attempt to solve: Simplifying 56 + 93x + 9xy + 12y = 0 Solving 56 + 93x + 9xy + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 93x + 9xy + -56 + 12y = 0 + -56 Reorder the terms: 56 + -56 + 93x + 9xy + 12y = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 93x + 9xy + 12y = 0 + -56 93x + 9xy + 12y = 0 + -56 Combine like terms: 0 + -56 = -56 93x + 9xy + 12y = -56 Add '-12y' to each side of the equation. 93x + 9xy + 12y + -12y = -56 + -12y Combine like terms: 12y + -12y = 0 93x + 9xy + 0 = -56 + -12y 93x + 9xy = -56 + -12y 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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