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Simplifying 4mn + -12m + -48n + 144 = 0 Reorder the terms: 144 + -12m + 4mn + -48n = 0 Solving 144 + -12m + 4mn + -48n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -12m + 4mn + -144 + -48n = 0 + -144 Reorder the terms: 144 + -144 + -12m + 4mn + -48n = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -12m + 4mn + -48n = 0 + -144 -12m + 4mn + -48n = 0 + -144 Combine like terms: 0 + -144 = -144 -12m + 4mn + -48n = -144 Add '48n' to each side of the equation. -12m + 4mn + -48n + 48n = -144 + 48n Combine like terms: -48n + 48n = 0 -12m + 4mn + 0 = -144 + 48n -12m + 4mn = -144 + 48n Reorder the terms: 144 + -12m + 4mn + -48n = -144 + 48n + 144 + -48n Reorder the terms: 144 + -12m + 4mn + -48n = -144 + 144 + 48n + -48n Combine like terms: -144 + 144 = 0 144 + -12m + 4mn + -48n = 0 + 48n + -48n 144 + -12m + 4mn + -48n = 48n + -48n Combine like terms: 48n + -48n = 0 144 + -12m + 4mn + -48n = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(36 + -3m + mn + -12n) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(36 + -3m + mn + -12n)' equal to zero and attempt to solve: Simplifying 36 + -3m + mn + -12n = 0 Solving 36 + -3m + mn + -12n = 0 Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -3m + mn + -36 + -12n = 0 + -36 Reorder the terms: 36 + -36 + -3m + mn + -12n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3m + mn + -12n = 0 + -36 -3m + mn + -12n = 0 + -36 Combine like terms: 0 + -36 = -36 -3m + mn + -12n = -36 Add '12n' to each side of the equation. -3m + mn + -12n + 12n = -36 + 12n Combine like terms: -12n + 12n = 0 -3m + mn + 0 = -36 + 12n -3m + mn = -36 + 12n 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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