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Simplifying m2 + 20mn + 100n2 = 0 Reorder the terms: 20mn + m2 + 100n2 = 0 Solving 20mn + m2 + 100n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + 10n)(m + 10n) = 0Subproblem 1
Set the factor '(m + 10n)' equal to zero and attempt to solve: Simplifying m + 10n = 0 Solving m + 10n = 0 Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 m + 0 = 0 + -10n m = 0 + -10n Remove the zero: m = -10n Simplifying m = -10nSubproblem 2
Set the factor '(m + 10n)' equal to zero and attempt to solve: Simplifying m + 10n = 0 Solving m + 10n = 0 Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 m + 0 = 0 + -10n m = 0 + -10n Remove the zero: m = -10n Simplifying m = -10nSolution
m = {-10n, -10n}
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