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Simplifying 6m2 = 30 + 31m Solving 6m2 = 30 + 31m Solving for variable 'm'. Reorder the terms: -30 + -31m + 6m2 = 30 + 31m + -30 + -31m Reorder the terms: -30 + -31m + 6m2 = 30 + -30 + 31m + -31m Combine like terms: 30 + -30 = 0 -30 + -31m + 6m2 = 0 + 31m + -31m -30 + -31m + 6m2 = 31m + -31m Combine like terms: 31m + -31m = 0 -30 + -31m + 6m2 = 0 Factor a trinomial. (-5 + -6m)(6 + -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 '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-0.8333333333, 6}
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