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Simplifying 6m2 = 19m + 20 Reorder the terms: 6m2 = 20 + 19m Solving 6m2 = 20 + 19m Solving for variable 'm'. Reorder the terms: -20 + -19m + 6m2 = 20 + 19m + -20 + -19m Reorder the terms: -20 + -19m + 6m2 = 20 + -20 + 19m + -19m Combine like terms: 20 + -20 = 0 -20 + -19m + 6m2 = 0 + 19m + -19m -20 + -19m + 6m2 = 19m + -19m Combine like terms: 19m + -19m = 0 -20 + -19m + 6m2 = 0 Factor a trinomial. (-5 + -6m)(4 + -1m) = 0Subproblem 1
Set the factor '(-5 + -6m)' equal to zero and attempt to solve: Simplifying -5 + -6m = 0 Solving -5 + -6m = 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 + -6m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 0 + 5 -6m = 0 + 5 Combine like terms: 0 + 5 = 5 -6m = 5 Divide each side by '-6'. m = -0.8333333333 Simplifying m = -0.8333333333Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.8333333333, 4}
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