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Simplifying 7m2 + 18m + 8 = 0 Reorder the terms: 8 + 18m + 7m2 = 0 Solving 8 + 18m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + m)(4 + 7m) = 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 '(4 + 7m)' equal to zero and attempt to solve: Simplifying 4 + 7m = 0 Solving 4 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714Solution
m = {-2, -0.5714285714}
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