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