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Simplifying 7m2 = -27m + -18 Reorder the terms: 7m2 = -18 + -27m Solving 7m2 = -18 + -27m Solving for variable 'm'. Reorder the terms: 18 + 27m + 7m2 = -18 + -27m + 18 + 27m Reorder the terms: 18 + 27m + 7m2 = -18 + 18 + -27m + 27m Combine like terms: -18 + 18 = 0 18 + 27m + 7m2 = 0 + -27m + 27m 18 + 27m + 7m2 = -27m + 27m Combine like terms: -27m + 27m = 0 18 + 27m + 7m2 = 0 Factor a trinomial. (3 + m)(6 + 7m) = 0Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(6 + 7m)' equal to zero and attempt to solve: Simplifying 6 + 7m = 0 Solving 6 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = 0 + -6 7m = 0 + -6 Combine like terms: 0 + -6 = -6 7m = -6 Divide each side by '7'. m = -0.8571428571 Simplifying m = -0.8571428571Solution
m = {-3, -0.8571428571}
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