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Simplifying 10m2 + mn + -3n2 = 0 Reorder the terms: mn + 10m2 + -3n2 = 0 Solving mn + 10m2 + -3n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -1n)(5m + 3n) = 0Subproblem 1
Set the factor '(2m + -1n)' equal to zero and attempt to solve: Simplifying 2m + -1n = 0 Solving 2m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 2m + 0 = 0 + n 2m = 0 + n Remove the zero: 2m = n Divide each side by '2'. m = 0.5n Simplifying m = 0.5nSubproblem 2
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 = -0.6nSolution
m = {0.5n, -0.6n}
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