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Simplifying 14m2 = 10 + 31m Solving 14m2 = 10 + 31m Solving for variable 'm'. Reorder the terms: -10 + -31m + 14m2 = 10 + 31m + -10 + -31m Reorder the terms: -10 + -31m + 14m2 = 10 + -10 + 31m + -31m Combine like terms: 10 + -10 = 0 -10 + -31m + 14m2 = 0 + 31m + -31m -10 + -31m + 14m2 = 31m + -31m Combine like terms: 31m + -31m = 0 -10 + -31m + 14m2 = 0 Factor a trinomial. (-2 + -7m)(5 + -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 '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {-0.2857142857, 2.5}
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