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Simplifying 5m2 + 28m + 32 = 0 Reorder the terms: 32 + 28m + 5m2 = 0 Solving 32 + 28m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m)(8 + 5m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(8 + 5m)' equal to zero and attempt to solve: Simplifying 8 + 5m = 0 Solving 8 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 0 + -8 5m = 0 + -8 Combine like terms: 0 + -8 = -8 5m = -8 Divide each side by '5'. m = -1.6 Simplifying m = -1.6Solution
m = {-4, -1.6}
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