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Simplifying 7m2 + 65m = -18 Reorder the terms: 65m + 7m2 = -18 Solving 65m + 7m2 = -18 Solving for variable 'm'. Reorder the terms: 18 + 65m + 7m2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 65m + 7m2 = 0 Factor a trinomial. (9 + m)(2 + 7m) = 0Subproblem 1
Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Subproblem 2
Set the factor '(2 + 7m)' equal to zero and attempt to solve: Simplifying 2 + 7m = 0 Solving 2 + 7m = 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 + 7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = 0 + -2 7m = 0 + -2 Combine like terms: 0 + -2 = -2 7m = -2 Divide each side by '7'. m = -0.2857142857 Simplifying m = -0.2857142857Solution
m = {-9, -0.2857142857}
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