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Simplifying 5m2 + 2m + 5 = 21 Reorder the terms: 5 + 2m + 5m2 = 21 Solving 5 + 2m + 5m2 = 21 Solving for variable 'm'. Reorder the terms: 5 + -21 + 2m + 5m2 = 21 + -21 Combine like terms: 5 + -21 = -16 -16 + 2m + 5m2 = 21 + -21 Combine like terms: 21 + -21 = 0 -16 + 2m + 5m2 = 0 Factor a trinomial. (-2 + -1m)(8 + -5m) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 1.6}
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