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Simplifying 6m2 + 19m = -14 Reorder the terms: 19m + 6m2 = -14 Solving 19m + 6m2 = -14 Solving for variable 'm'. Reorder the terms: 14 + 19m + 6m2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 19m + 6m2 = 0 Factor a trinomial. (2 + m)(7 + 6m) = 0Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(7 + 6m)' equal to zero and attempt to solve: Simplifying 7 + 6m = 0 Solving 7 + 6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6m = 0 + -7 6m = 0 + -7 Combine like terms: 0 + -7 = -7 6m = -7 Divide each side by '6'. m = -1.166666667 Simplifying m = -1.166666667Solution
m = {-2, -1.166666667}
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