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Simplifying -6mn + 4m + 18n + -12 = 0 Reorder the terms: -12 + 4m + -6mn + 18n = 0 Solving -12 + 4m + -6mn + 18n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4m + -6mn + 12 + 18n = 0 + 12 Reorder the terms: -12 + 12 + 4m + -6mn + 18n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4m + -6mn + 18n = 0 + 12 4m + -6mn + 18n = 0 + 12 Combine like terms: 0 + 12 = 12 4m + -6mn + 18n = 12 Add '-18n' to each side of the equation. 4m + -6mn + 18n + -18n = 12 + -18n Combine like terms: 18n + -18n = 0 4m + -6mn + 0 = 12 + -18n 4m + -6mn = 12 + -18n Reorder the terms: -12 + 4m + -6mn + 18n = 12 + -18n + -12 + 18n Reorder the terms: -12 + 4m + -6mn + 18n = 12 + -12 + -18n + 18n Combine like terms: 12 + -12 = 0 -12 + 4m + -6mn + 18n = 0 + -18n + 18n -12 + 4m + -6mn + 18n = -18n + 18n Combine like terms: -18n + 18n = 0 -12 + 4m + -6mn + 18n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 2m + -3mn + 9n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 2m + -3mn + 9n)' equal to zero and attempt to solve: Simplifying -6 + 2m + -3mn + 9n = 0 Solving -6 + 2m + -3mn + 9n = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2m + -3mn + 6 + 9n = 0 + 6 Reorder the terms: -6 + 6 + 2m + -3mn + 9n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2m + -3mn + 9n = 0 + 6 2m + -3mn + 9n = 0 + 6 Combine like terms: 0 + 6 = 6 2m + -3mn + 9n = 6 Add '-9n' to each side of the equation. 2m + -3mn + 9n + -9n = 6 + -9n Combine like terms: 9n + -9n = 0 2m + -3mn + 0 = 6 + -9n 2m + -3mn = 6 + -9n 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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