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Simplifying -4m2 + -8m + 21 = 0 Reorder the terms: 21 + -8m + -4m2 = 0 Solving 21 + -8m + -4m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -2m)(7 + 2m) = 0Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
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 = -3.5Solution
m = {1.5, -3.5}
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