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Simplifying 4m2 + -110 = 2m Reorder the terms: -110 + 4m2 = 2m Solving -110 + 4m2 = 2m Solving for variable 'm'. Reorder the terms: -110 + -2m + 4m2 = 2m + -2m Combine like terms: 2m + -2m = 0 -110 + -2m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-55 + -1m + 2m2) = 0 Factor a trinomial. 2((-5 + -1m)(11 + -2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(11 + -2m)' equal to zero and attempt to solve: Simplifying 11 + -2m = 0 Solving 11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 0 + -11 -2m = 0 + -11 Combine like terms: 0 + -11 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5Solution
m = {-5, 5.5}
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