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Simplifying 6m2 + 7m + 3 = 8 Reorder the terms: 3 + 7m + 6m2 = 8 Solving 3 + 7m + 6m2 = 8 Solving for variable 'm'. Reorder the terms: 3 + -8 + 7m + 6m2 = 8 + -8 Combine like terms: 3 + -8 = -5 -5 + 7m + 6m2 = 8 + -8 Combine like terms: 8 + -8 = 0 -5 + 7m + 6m2 = 0 Factor a trinomial. (-5 + -3m)(1 + -2m) = 0Subproblem 1
Set the factor '(-5 + -3m)' equal to zero and attempt to solve: Simplifying -5 + -3m = 0 Solving -5 + -3m = 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 + -3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3m = 0 + 5 -3m = 0 + 5 Combine like terms: 0 + 5 = 5 -3m = 5 Divide each side by '-3'. m = -1.666666667 Simplifying m = -1.666666667Subproblem 2
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-1.666666667, 0.5}
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