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Simplifying 10m2 + -23mn + -5n2 = 0 Reorder the terms: -23mn + 10m2 + -5n2 = 0 Solving -23mn + 10m2 + -5n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -5n)(5m + n) = 0Subproblem 1
Set the factor '(2m + -5n)' equal to zero and attempt to solve: Simplifying 2m + -5n = 0 Solving 2m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 2m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 2m + 0 = 0 + 5n 2m = 0 + 5n Remove the zero: 2m = 5n Divide each side by '2'. m = 2.5n Simplifying m = 2.5nSubproblem 2
Set the factor '(5m + n)' equal to zero and attempt to solve: Simplifying 5m + n = 0 Solving 5m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 5m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 5m + 0 = 0 + -1n 5m = 0 + -1n Remove the zero: 5m = -1n Divide each side by '5'. m = -0.2n Simplifying m = -0.2nSolution
m = {2.5n, -0.2n}
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