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Simplifying 10m2 + -51mn + 56n2 = 0 Reorder the terms: -51mn + 10m2 + 56n2 = 0 Solving -51mn + 10m2 + 56n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -7n)(5m + -8n) = 0Subproblem 1
Set the factor '(2m + -7n)' equal to zero and attempt to solve: Simplifying 2m + -7n = 0 Solving 2m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 2m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 2m + 0 = 0 + 7n 2m = 0 + 7n Remove the zero: 2m = 7n Divide each side by '2'. m = 3.5n Simplifying m = 3.5nSubproblem 2
Set the factor '(5m + -8n)' equal to zero and attempt to solve: Simplifying 5m + -8n = 0 Solving 5m + -8n = 0 Move all terms containing m to the left, all other terms to the right. Add '8n' to each side of the equation. 5m + -8n + 8n = 0 + 8n Combine like terms: -8n + 8n = 0 5m + 0 = 0 + 8n 5m = 0 + 8n Remove the zero: 5m = 8n Divide each side by '5'. m = 1.6n Simplifying m = 1.6nSolution
m = {3.5n, 1.6n}
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