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Simplifying 7m2 + -15m + 8 = 6 Reorder the terms: 8 + -15m + 7m2 = 6 Solving 8 + -15m + 7m2 = 6 Solving for variable 'm'. Reorder the terms: 8 + -6 + -15m + 7m2 = 6 + -6 Combine like terms: 8 + -6 = 2 2 + -15m + 7m2 = 6 + -6 Combine like terms: 6 + -6 = 0 2 + -15m + 7m2 = 0 Factor a trinomial. (1 + -7m)(2 + -1m) = 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 '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {0.1428571429, 2}
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