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Simplifying 5m2 + 43mn + -18n2 = 0 Reorder the terms: 43mn + 5m2 + -18n2 = 0 Solving 43mn + 5m2 + -18n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + -2n)(m + 9n) = 0Subproblem 1
Set the factor '(5m + -2n)' equal to zero and attempt to solve: Simplifying 5m + -2n = 0 Solving 5m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 5m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 5m + 0 = 0 + 2n 5m = 0 + 2n Remove the zero: 5m = 2n Divide each side by '5'. m = 0.4n Simplifying m = 0.4nSubproblem 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 = {0.4n, -9n}
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