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Simplifying -24m2 + -90m = 21 Reorder the terms: -90m + -24m2 = 21 Solving -90m + -24m2 = 21 Solving for variable 'm'. Reorder the terms: -21 + -90m + -24m2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -90m + -24m2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(7 + 30m + 8m2) = 0 Factor a trinomial. -3((7 + 2m)(1 + 4m)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(7 + 2m)' equal to zero and attempt to solve: Simplifying 7 + 2m = 0 Solving 7 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 0 + -7 2m = 0 + -7 Combine like terms: 0 + -7 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve: Simplifying 1 + 4m = 0 Solving 1 + 4m = 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 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25Solution
m = {-3.5, -0.25}
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