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Simplifying 10m2 + 43m + 12 = 0 Reorder the terms: 12 + 43m + 10m2 = 0 Solving 12 + 43m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m)(3 + 10m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(3 + 10m)' equal to zero and attempt to solve: Simplifying 3 + 10m = 0 Solving 3 + 10m = 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 + 10m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10m = 0 + -3 10m = 0 + -3 Combine like terms: 0 + -3 = -3 10m = -3 Divide each side by '10'. m = -0.3 Simplifying m = -0.3Solution
m = {-4, -0.3}
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