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Simplifying 7m2 + 79mn + 90n2 = 0 Reorder the terms: 79mn + 7m2 + 90n2 = 0 Solving 79mn + 7m2 + 90n2 = 0 Solving for variable 'm'. Factor a trinomial. (7m + 9n)(m + 10n) = 0Subproblem 1
Set the factor '(7m + 9n)' equal to zero and attempt to solve: Simplifying 7m + 9n = 0 Solving 7m + 9n = 0 Move all terms containing m to the left, all other terms to the right. Add '-9n' to each side of the equation. 7m + 9n + -9n = 0 + -9n Combine like terms: 9n + -9n = 0 7m + 0 = 0 + -9n 7m = 0 + -9n Remove the zero: 7m = -9n Divide each side by '7'. m = -1.285714286n Simplifying m = -1.285714286nSubproblem 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 = {-1.285714286n, -10n}
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