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Simplifying 7m2 + -15m + 8 = 0 Reorder the terms: 8 + -15m + 7m2 = 0 Solving 8 + -15m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -1m)(8 + -7m) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(8 + -7m)' equal to zero and attempt to solve: Simplifying 8 + -7m = 0 Solving 8 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = 0 + -8 -7m = 0 + -8 Combine like terms: 0 + -8 = -8 -7m = -8 Divide each side by '-7'. m = 1.142857143 Simplifying m = 1.142857143Solution
m = {1, 1.142857143}
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