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Simplifying 15m2 + 26mn + -21n2 = 0 Reorder the terms: 26mn + 15m2 + -21n2 = 0 Solving 26mn + 15m2 + -21n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + -3n)(3m + 7n) = 0Subproblem 1
Set the factor '(5m + -3n)' equal to zero and attempt to solve: Simplifying 5m + -3n = 0 Solving 5m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 5m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 5m + 0 = 0 + 3n 5m = 0 + 3n Remove the zero: 5m = 3n Divide each side by '5'. m = 0.6n Simplifying m = 0.6nSubproblem 2
Set the factor '(3m + 7n)' equal to zero and attempt to solve: Simplifying 3m + 7n = 0 Solving 3m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 3m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 3m + 0 = 0 + -7n 3m = 0 + -7n Remove the zero: 3m = -7n Divide each side by '3'. m = -2.333333333n Simplifying m = -2.333333333nSolution
m = {0.6n, -2.333333333n}
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