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Simplifying 49m2 + 63mn + 8n2 = 0 Reorder the terms: 63mn + 49m2 + 8n2 = 0 Solving 63mn + 49m2 + 8n2 = 0 Solving for variable 'm'. Factor a trinomial. (7m + n)(7m + 8n) = 0Subproblem 1
Set the factor '(7m + n)' equal to zero and attempt to solve: Simplifying 7m + n = 0 Solving 7m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 7m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 7m + 0 = 0 + -1n 7m = 0 + -1n Remove the zero: 7m = -1n Divide each side by '7'. m = -0.1428571429n Simplifying m = -0.1428571429nSubproblem 2
Set the factor '(7m + 8n)' equal to zero and attempt to solve: Simplifying 7m + 8n = 0 Solving 7m + 8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 7m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 7m + 0 = 0 + -8n 7m = 0 + -8n Remove the zero: 7m = -8n Divide each side by '7'. m = -1.142857143n Simplifying m = -1.142857143nSolution
m = {-0.1428571429n, -1.142857143n}
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