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Simplifying (9x + 1)(6 + -2y) = 0 Reorder the terms: (1 + 9x)(6 + -2y) = 0 Multiply (1 + 9x) * (6 + -2y) (1(6 + -2y) + 9x * (6 + -2y)) = 0 ((6 * 1 + -2y * 1) + 9x * (6 + -2y)) = 0 ((6 + -2y) + 9x * (6 + -2y)) = 0 (6 + -2y + (6 * 9x + -2y * 9x)) = 0 (6 + -2y + (54x + -18xy)) = 0 Reorder the terms: (6 + 54x + -18xy + -2y) = 0 (6 + 54x + -18xy + -2y) = 0 Solving 6 + 54x + -18xy + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 54x + -18xy + -6 + -2y = 0 + -6 Reorder the terms: 6 + -6 + 54x + -18xy + -2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 54x + -18xy + -2y = 0 + -6 54x + -18xy + -2y = 0 + -6 Combine like terms: 0 + -6 = -6 54x + -18xy + -2y = -6 Add '2y' to each side of the equation. 54x + -18xy + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 54x + -18xy + 0 = -6 + 2y 54x + -18xy = -6 + 2y Reorder the terms: 6 + 54x + -18xy + -2y = -6 + 2y + 6 + -2y Reorder the terms: 6 + 54x + -18xy + -2y = -6 + 6 + 2y + -2y Combine like terms: -6 + 6 = 0 6 + 54x + -18xy + -2y = 0 + 2y + -2y 6 + 54x + -18xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 6 + 54x + -18xy + -2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 27x + -9xy + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 27x + -9xy + -1y)' equal to zero and attempt to solve: Simplifying 3 + 27x + -9xy + -1y = 0 Solving 3 + 27x + -9xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 27x + -9xy + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + 27x + -9xy + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 27x + -9xy + -1y = 0 + -3 27x + -9xy + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 27x + -9xy + -1y = -3 Add 'y' to each side of the equation. 27x + -9xy + -1y + y = -3 + y Combine like terms: -1y + y = 0 27x + -9xy + 0 = -3 + y 27x + -9xy = -3 + y 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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