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Simplifying 42m2 + -29m + -5 = 0 Reorder the terms: -5 + -29m + 42m2 = 0 Solving -5 + -29m + 42m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -7m)(5 + -6m) = 0Subproblem 1
Set the factor '(-1 + -7m)' equal to zero and attempt to solve: Simplifying -1 + -7m = 0 Solving -1 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7m = 0 + 1 -7m = 0 + 1 Combine like terms: 0 + 1 = 1 -7m = 1 Divide each side by '-7'. m = -0.1428571429 Simplifying m = -0.1428571429Subproblem 2
Set the factor '(5 + -6m)' equal to zero and attempt to solve: Simplifying 5 + -6m = 0 Solving 5 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = 0 + -5 -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333Solution
m = {-0.1428571429, 0.8333333333}
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