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Simplifying 42m2 + -29mn + -5n2 = 0 Reorder the terms: -29mn + 42m2 + -5n2 = 0 Solving -29mn + 42m2 + -5n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + -5n)(7m + n) = 0Subproblem 1
Set the factor '(6m + -5n)' equal to zero and attempt to solve: Simplifying 6m + -5n = 0 Solving 6m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 6m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 6m + 0 = 0 + 5n 6m = 0 + 5n Remove the zero: 6m = 5n Divide each side by '6'. m = 0.8333333333n Simplifying m = 0.8333333333nSubproblem 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 = {0.8333333333n, -0.1428571429n}
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