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Simplifying 6m2 + -14m + 10 = 2 Reorder the terms: 10 + -14m + 6m2 = 2 Solving 10 + -14m + 6m2 = 2 Solving for variable 'm'. Reorder the terms: 10 + -2 + -14m + 6m2 = 2 + -2 Combine like terms: 10 + -2 = 8 8 + -14m + 6m2 = 2 + -2 Combine like terms: 2 + -2 = 0 8 + -14m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -7m + 3m2) = 0 Factor a trinomial. 2((1 + -1m)(4 + -3m)) = 0 Ignore the factor 2.Subproblem 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 '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 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 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {1, 1.333333333}
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