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Simplifying 35m2 + -9mn + -2n2 = 0 Reorder the terms: -9mn + 35m2 + -2n2 = 0 Solving -9mn + 35m2 + -2n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + -2n)(7m + n) = 0Subproblem 1
Set the factor '(5m + -2n)' equal to zero and attempt to solve: Simplifying 5m + -2n = 0 Solving 5m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 5m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 5m + 0 = 0 + 2n 5m = 0 + 2n Remove the zero: 5m = 2n Divide each side by '5'. m = 0.4n Simplifying m = 0.4nSubproblem 2
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 = -0.1428571429nSolution
m = {0.4n, -0.1428571429n}
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