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Simplifying mn2 + -1mn = 4m + mn Reorder the terms: -1mn + mn2 = 4m + mn Solving -1mn + mn2 = 4m + mn Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -1mn + -4m + mn2 = 4m + -4m + mn Reorder the terms: -4m + -1mn + mn2 = 4m + -4m + mn Combine like terms: 4m + -4m = 0 -4m + -1mn + mn2 = 0 + mn -4m + -1mn + mn2 = mn Add '-1mn' to each side of the equation. -4m + -1mn + -1mn + mn2 = mn + -1mn Combine like terms: -1mn + -1mn = -2mn -4m + -2mn + mn2 = mn + -1mn Combine like terms: mn + -1mn = 0 -4m + -2mn + mn2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-4 + -2n + n2) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-4 + -2n + n2)' equal to zero and attempt to solve: Simplifying -4 + -2n + n2 = 0 Solving -4 + -2n + n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2n + 4 + n2 = 0 + 4 Reorder the terms: -4 + 4 + -2n + n2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2n + n2 = 0 + 4 -2n + n2 = 0 + 4 Combine like terms: 0 + 4 = 4 -2n + n2 = 4 Add '2n' to each side of the equation. -2n + 2n + n2 = 4 + 2n Combine like terms: -2n + 2n = 0 0 + n2 = 4 + 2n n2 = 4 + 2n Add '-1n2' to each side of the equation. n2 + -1n2 = 4 + 2n + -1n2 Combine like terms: n2 + -1n2 = 0 0 = 4 + 2n + -1n2 Simplifying 0 = 4 + 2n + -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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