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Simplifying 4mn2 + -4m2n2 + m3n2 = 0 Solving 4mn2 + -4m2n2 + m3n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'mn2'. mn2(4 + -4m + m2) = 0 Factor a trinomial. mn2((2 + -1m)(2 + -1m)) = 0Subproblem 1
Set the factor 'mn2' equal to zero and attempt to solve: Simplifying mn2 = 0 Solving mn2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn2 = 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 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 3
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {2, 2}
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