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Simplifying 4m2 + 14m + -44 = 0 Reorder the terms: -44 + 14m + 4m2 = 0 Solving -44 + 14m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + 7m + 2m2) = 0 Factor a trinomial. 2((-11 + -2m)(2 + -1m)) = 0 Ignore the factor 2.Subproblem 1
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 = -5.5Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-5.5, 2}
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