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Simplifying 14m2 + -45m + -14 = 0 Reorder the terms: -14 + -45m + 14m2 = 0 Solving -14 + -45m + 14m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -7m)(7 + -2m) = 0Subproblem 1
Set the factor '(-2 + -7m)' equal to zero and attempt to solve: Simplifying -2 + -7m = 0 Solving -2 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7m = 0 + 2 -7m = 0 + 2 Combine like terms: 0 + 2 = 2 -7m = 2 Divide each side by '-7'. m = -0.2857142857 Simplifying m = -0.2857142857Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {-0.2857142857, 3.5}
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