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Simplifying 2m2 + -8m + -3690 = 0 Reorder the terms: -3690 + -8m + 2m2 = 0 Solving -3690 + -8m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1845 + -4m + m2) = 0 Factor a trinomial. 2((-41 + -1m)(45 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-41 + -1m)' equal to zero and attempt to solve: Simplifying -41 + -1m = 0 Solving -41 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -1m = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -1m = 0 + 41 -1m = 0 + 41 Combine like terms: 0 + 41 = 41 -1m = 41 Divide each side by '-1'. m = -41 Simplifying m = -41Subproblem 2
Set the factor '(45 + -1m)' equal to zero and attempt to solve: Simplifying 45 + -1m = 0 Solving 45 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1m = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1m = 0 + -45 -1m = 0 + -45 Combine like terms: 0 + -45 = -45 -1m = -45 Divide each side by '-1'. m = 45 Simplifying m = 45Solution
m = {-41, 45}
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