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Simplifying 6m2 = 13m + 28 Reorder the terms: 6m2 = 28 + 13m Solving 6m2 = 28 + 13m Solving for variable 'm'. Reorder the terms: -28 + -13m + 6m2 = 28 + 13m + -28 + -13m Reorder the terms: -28 + -13m + 6m2 = 28 + -28 + 13m + -13m Combine like terms: 28 + -28 = 0 -28 + -13m + 6m2 = 0 + 13m + -13m -28 + -13m + 6m2 = 13m + -13m Combine like terms: 13m + -13m = 0 -28 + -13m + 6m2 = 0 Factor a trinomial. (-4 + -3m)(7 + -2m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve: Simplifying 7 + -2m = 0 Solving 7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2m = 0 + -7 -2m = 0 + -7 Combine like terms: 0 + -7 = -7 -2m = -7 Divide each side by '-2'. m = 3.5 Simplifying m = 3.5Solution
m = {-1.333333333, 3.5}
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