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Simplifying 7m2 + -27m + -34 = 6 Reorder the terms: -34 + -27m + 7m2 = 6 Solving -34 + -27m + 7m2 = 6 Solving for variable 'm'. Reorder the terms: -34 + -6 + -27m + 7m2 = 6 + -6 Combine like terms: -34 + -6 = -40 -40 + -27m + 7m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -40 + -27m + 7m2 = 0 Factor a trinomial. (-8 + -7m)(5 + -1m) = 0Subproblem 1
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 = -1.142857143Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-1.142857143, 5}
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