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