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Simplifying -155m + 20m2 = 40 Solving -155m + 20m2 = 40 Solving for variable 'm'. Reorder the terms: -40 + -155m + 20m2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -155m + 20m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + -31m + 4m2) = 0 Factor a trinomial. 5((-1 + -4m)(8 + -1m)) = 0 Ignore the factor 5.Subproblem 1
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 = -0.25Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 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 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-0.25, 8}
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