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Simplifying 5m2 + 20m2n + 20mn2 = 0 Reorder the terms: 20mn2 + 5m2 + 20m2n = 0 Solving 20mn2 + 5m2 + 20m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(4n2 + m + 4mn) = 0 Ignore the factor 5.Subproblem 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 '(4n2 + m + 4mn)' equal to zero and attempt to solve: Simplifying 4n2 + m + 4mn = 0 Reorder the terms: m + 4mn + 4n2 = 0 Solving m + 4mn + 4n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n2' to each side of the equation. m + 4mn + 4n2 + -4n2 = 0 + -4n2 Combine like terms: 4n2 + -4n2 = 0 m + 4mn + 0 = 0 + -4n2 m + 4mn = 0 + -4n2 Remove the zero: m + 4mn = -4n2 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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