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Simplifying 4m2 + 9mn + 5n2 = 0 Reorder the terms: 9mn + 4m2 + 5n2 = 0 Solving 9mn + 4m2 + 5n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + n)(4m + 5n) = 0Subproblem 1
Set the factor '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSubproblem 2
Set the factor '(4m + 5n)' equal to zero and attempt to solve: Simplifying 4m + 5n = 0 Solving 4m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 4m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = 0 + -5n 4m = 0 + -5n Remove the zero: 4m = -5n Divide each side by '4'. m = -1.25n Simplifying m = -1.25nSolution
m = {-1n, -1.25n}
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