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Simplifying 2(3m + 4n) + -4n(3 + -2m) = 0 (3m * 2 + 4n * 2) + -4n(3 + -2m) = 0 (6m + 8n) + -4n(3 + -2m) = 0 6m + 8n + (3 * -4n + -2m * -4n) = 0 Reorder the terms: 6m + 8n + (8mn + -12n) = 0 6m + 8n + (8mn + -12n) = 0 Reorder the terms: 6m + 8mn + 8n + -12n = 0 Combine like terms: 8n + -12n = -4n 6m + 8mn + -4n = 0 Solving 6m + 8mn + -4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 6m + 8mn + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 6m + 8mn + 0 = 0 + 4n 6m + 8mn = 0 + 4n Remove the zero: 6m + 8mn = 4n Combine like terms: 4n + -4n = 0 6m + 8mn + -4n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3m + 4mn + -2n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3m + 4mn + -2n)' equal to zero and attempt to solve: Simplifying 3m + 4mn + -2n = 0 Solving 3m + 4mn + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 3m + 4mn + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 3m + 4mn + 0 = 0 + 2n 3m + 4mn = 0 + 2n Remove the zero: 3m + 4mn = 2n 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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