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Simplifying 19m2 + 5m + -12 = -6m2 Reorder the terms: -12 + 5m + 19m2 = -6m2 Solving -12 + 5m + 19m2 = -6m2 Solving for variable 'm'. Combine like terms: 19m2 + 6m2 = 25m2 -12 + 5m + 25m2 = -6m2 + 6m2 Combine like terms: -6m2 + 6m2 = 0 -12 + 5m + 25m2 = 0 Factor a trinomial. (-4 + -5m)(3 + -5m) = 0Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve: Simplifying -4 + -5m = 0 Solving -4 + -5m = 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 + -5m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5m = 0 + 4 -5m = 0 + 4 Combine like terms: 0 + 4 = 4 -5m = 4 Divide each side by '-5'. m = -0.8 Simplifying m = -0.8Subproblem 2
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Solution
m = {-0.8, 0.6}
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