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