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