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Simplifying m(20m + 9) = 20 Reorder the terms: m(9 + 20m) = 20 (9 * m + 20m * m) = 20 (9m + 20m2) = 20 Solving 9m + 20m2 = 20 Solving for variable 'm'. Reorder the terms: -20 + 9m + 20m2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 9m + 20m2 = 0 Factor a trinomial. (-5 + -4m)(4 + -5m) = 0Subproblem 1
Set the factor '(-5 + -4m)' equal to zero and attempt to solve: Simplifying -5 + -4m = 0 Solving -5 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = 0 + 5 -4m = 0 + 5 Combine like terms: 0 + 5 = 5 -4m = 5 Divide each side by '-4'. m = -1.25 Simplifying m = -1.25Subproblem 2
Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 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 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8Solution
m = {-1.25, 0.8}
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