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Simplifying 56m2 + 65mn + 14n2 = 0 Reorder the terms: 65mn + 56m2 + 14n2 = 0 Solving 65mn + 56m2 + 14n2 = 0 Solving for variable 'm'. Factor a trinomial. (7m + 2n)(8m + 7n) = 0Subproblem 1
Set the factor '(7m + 2n)' equal to zero and attempt to solve: Simplifying 7m + 2n = 0 Solving 7m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 7m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 7m + 0 = 0 + -2n 7m = 0 + -2n Remove the zero: 7m = -2n Divide each side by '7'. m = -0.2857142857n Simplifying m = -0.2857142857nSubproblem 2
Set the factor '(8m + 7n)' equal to zero and attempt to solve: Simplifying 8m + 7n = 0 Solving 8m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 8m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 8m + 0 = 0 + -7n 8m = 0 + -7n Remove the zero: 8m = -7n Divide each side by '8'. m = -0.875n Simplifying m = -0.875nSolution
m = {-0.2857142857n, -0.875n}
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