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Simplifying m2 + -19mn + 90n2 = 0 Reorder the terms: -19mn + m2 + 90n2 = 0 Solving -19mn + m2 + 90n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -10n)(m + -9n) = 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 + -9n)' equal to zero and attempt to solve: Simplifying m + -9n = 0 Solving m + -9n = 0 Move all terms containing m to the left, all other terms to the right. Add '9n' to each side of the equation. m + -9n + 9n = 0 + 9n Combine like terms: -9n + 9n = 0 m + 0 = 0 + 9n m = 0 + 9n Remove the zero: m = 9n Simplifying m = 9nSolution
m = {10n, 9n}
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