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Simplifying 5m2 + -16m + 10 = -2 Reorder the terms: 10 + -16m + 5m2 = -2 Solving 10 + -16m + 5m2 = -2 Solving for variable 'm'. Reorder the terms: 10 + 2 + -16m + 5m2 = -2 + 2 Combine like terms: 10 + 2 = 12 12 + -16m + 5m2 = -2 + 2 Combine like terms: -2 + 2 = 0 12 + -16m + 5m2 = 0 Factor a trinomial. (6 + -5m)(2 + -1m) = 0Subproblem 1
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {1.2, 2}
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