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Simplifying 6m2 + -3m + 5 = 8 Reorder the terms: 5 + -3m + 6m2 = 8 Solving 5 + -3m + 6m2 = 8 Solving for variable 'm'. Reorder the terms: 5 + -8 + -3m + 6m2 = 8 + -8 Combine like terms: 5 + -8 = -3 -3 + -3m + 6m2 = 8 + -8 Combine like terms: 8 + -8 = 0 -3 + -3m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -1m + 2m2) = 0 Factor a trinomial. 3((-1 + -2m)(1 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 2
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 = 1Solution
m = {-0.5, 1}
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