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Simplifying (9x + 6a)(8m + -4y) = 0 Reorder the terms: (6a + 9x)(8m + -4y) = 0 Multiply (6a + 9x) * (8m + -4y) (6a * (8m + -4y) + 9x * (8m + -4y)) = 0 ((8m * 6a + -4y * 6a) + 9x * (8m + -4y)) = 0 ((48am + -24ay) + 9x * (8m + -4y)) = 0 (48am + -24ay + (8m * 9x + -4y * 9x)) = 0 (48am + -24ay + (72mx + -36xy)) = 0 (48am + -24ay + 72mx + -36xy) = 0 Solving 48am + -24ay + 72mx + -36xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72mx' to each side of the equation. 48am + -24ay + 72mx + -72mx + -36xy = 0 + -72mx Combine like terms: 72mx + -72mx = 0 48am + -24ay + 0 + -36xy = 0 + -72mx 48am + -24ay + -36xy = 0 + -72mx Remove the zero: 48am + -24ay + -36xy = -72mx Add '36xy' to each side of the equation. 48am + -24ay + -36xy + 36xy = -72mx + 36xy Combine like terms: -36xy + 36xy = 0 48am + -24ay + 0 = -72mx + 36xy 48am + -24ay = -72mx + 36xy Reorder the terms: 48am + -24ay + 72mx + -36xy = -72mx + 72mx + 36xy + -36xy Combine like terms: -72mx + 72mx = 0 48am + -24ay + 72mx + -36xy = 0 + 36xy + -36xy 48am + -24ay + 72mx + -36xy = 36xy + -36xy Combine like terms: 36xy + -36xy = 0 48am + -24ay + 72mx + -36xy = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(4am + -2ay + 6mx + -3xy) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(4am + -2ay + 6mx + -3xy)' equal to zero and attempt to solve: Simplifying 4am + -2ay + 6mx + -3xy = 0 Solving 4am + -2ay + 6mx + -3xy = 0 Move all terms containing a to the left, all other terms to the right. Add '-6mx' to each side of the equation. 4am + -2ay + 6mx + -6mx + -3xy = 0 + -6mx Combine like terms: 6mx + -6mx = 0 4am + -2ay + 0 + -3xy = 0 + -6mx 4am + -2ay + -3xy = 0 + -6mx Remove the zero: 4am + -2ay + -3xy = -6mx Add '3xy' to each side of the equation. 4am + -2ay + -3xy + 3xy = -6mx + 3xy Combine like terms: -3xy + 3xy = 0 4am + -2ay + 0 = -6mx + 3xy 4am + -2ay = -6mx + 3xy 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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