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Simplifying (12x + 9)(7y + 3) = 0 Reorder the terms: (9 + 12x)(7y + 3) = 0 Reorder the terms: (9 + 12x)(3 + 7y) = 0 Multiply (9 + 12x) * (3 + 7y) (9(3 + 7y) + 12x * (3 + 7y)) = 0 ((3 * 9 + 7y * 9) + 12x * (3 + 7y)) = 0 ((27 + 63y) + 12x * (3 + 7y)) = 0 (27 + 63y + (3 * 12x + 7y * 12x)) = 0 (27 + 63y + (36x + 84xy)) = 0 Reorder the terms: (27 + 36x + 84xy + 63y) = 0 (27 + 36x + 84xy + 63y) = 0 Solving 27 + 36x + 84xy + 63y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 36x + 84xy + -27 + 63y = 0 + -27 Reorder the terms: 27 + -27 + 36x + 84xy + 63y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 36x + 84xy + 63y = 0 + -27 36x + 84xy + 63y = 0 + -27 Combine like terms: 0 + -27 = -27 36x + 84xy + 63y = -27 Add '-63y' to each side of the equation. 36x + 84xy + 63y + -63y = -27 + -63y Combine like terms: 63y + -63y = 0 36x + 84xy + 0 = -27 + -63y 36x + 84xy = -27 + -63y Reorder the terms: 27 + 36x + 84xy + 63y = -27 + -63y + 27 + 63y Reorder the terms: 27 + 36x + 84xy + 63y = -27 + 27 + -63y + 63y Combine like terms: -27 + 27 = 0 27 + 36x + 84xy + 63y = 0 + -63y + 63y 27 + 36x + 84xy + 63y = -63y + 63y Combine like terms: -63y + 63y = 0 27 + 36x + 84xy + 63y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + 12x + 28xy + 21y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + 12x + 28xy + 21y)' equal to zero and attempt to solve: Simplifying 9 + 12x + 28xy + 21y = 0 Solving 9 + 12x + 28xy + 21y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12x + 28xy + -9 + 21y = 0 + -9 Reorder the terms: 9 + -9 + 12x + 28xy + 21y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12x + 28xy + 21y = 0 + -9 12x + 28xy + 21y = 0 + -9 Combine like terms: 0 + -9 = -9 12x + 28xy + 21y = -9 Add '-21y' to each side of the equation. 12x + 28xy + 21y + -21y = -9 + -21y Combine like terms: 21y + -21y = 0 12x + 28xy + 0 = -9 + -21y 12x + 28xy = -9 + -21y 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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