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Simplifying 5m2 + 3m + -2 = 0 Reorder the terms: -2 + 3m + 5m2 = 0 Solving -2 + 3m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -1m)(2 + -5m) = 0Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 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 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {-1, 0.4}
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