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Simplifying 14m2 + -12m + 13 = 7m2 + 8 Reorder the terms: 13 + -12m + 14m2 = 7m2 + 8 Reorder the terms: 13 + -12m + 14m2 = 8 + 7m2 Solving 13 + -12m + 14m2 = 8 + 7m2 Solving for variable 'm'. Reorder the terms: 13 + -8 + -12m + 14m2 + -7m2 = 8 + 7m2 + -8 + -7m2 Combine like terms: 13 + -8 = 5 5 + -12m + 14m2 + -7m2 = 8 + 7m2 + -8 + -7m2 Combine like terms: 14m2 + -7m2 = 7m2 5 + -12m + 7m2 = 8 + 7m2 + -8 + -7m2 Reorder the terms: 5 + -12m + 7m2 = 8 + -8 + 7m2 + -7m2 Combine like terms: 8 + -8 = 0 5 + -12m + 7m2 = 0 + 7m2 + -7m2 5 + -12m + 7m2 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 5 + -12m + 7m2 = 0 Factor a trinomial. (5 + -7m)(1 + -1m) = 0Subproblem 1
Set the factor '(5 + -7m)' equal to zero and attempt to solve: Simplifying 5 + -7m = 0 Solving 5 + -7m = 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 + -7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = 0 + -5 -7m = 0 + -5 Combine like terms: 0 + -5 = -5 -7m = -5 Divide each side by '-7'. m = 0.7142857143 Simplifying m = 0.7142857143Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {0.7142857143, 1}
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