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Simplifying 3m2 + -65 = -2m Reorder the terms: -65 + 3m2 = -2m Solving -65 + 3m2 = -2m Solving for variable 'm'. Reorder the terms: -65 + 2m + 3m2 = -2m + 2m Combine like terms: -2m + 2m = 0 -65 + 2m + 3m2 = 0 Factor a trinomial. (-5 + -1m)(13 + -3m) = 0Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(13 + -3m)' equal to zero and attempt to solve: Simplifying 13 + -3m = 0 Solving 13 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = 0 + -13 -3m = 0 + -13 Combine like terms: 0 + -13 = -13 -3m = -13 Divide each side by '-3'. m = 4.333333333 Simplifying m = 4.333333333Solution
m = {-5, 4.333333333}
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