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Simplifying 4m2n + -1(2mn + -1m2n + 8mn) = 0 Reorder the terms: 4m2n + -1(2mn + 8mn + -1m2n) = 0 Combine like terms: 2mn + 8mn = 10mn 4m2n + -1(10mn + -1m2n) = 0 4m2n + (10mn * -1 + -1m2n * -1) = 0 4m2n + (-10mn + 1m2n) = 0 Reorder the terms: -10mn + 4m2n + 1m2n = 0 Combine like terms: 4m2n + 1m2n = 5m2n -10mn + 5m2n = 0 Solving -10mn + 5m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5mn'. 5mn(-2 + m) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2Solution
m = {2}
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