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Simplifying (6m2 + -4m + 10) + (3m2 + 7m + -12) = 0 Reorder the terms: (10 + -4m + 6m2) + (3m2 + 7m + -12) = 0 Remove parenthesis around (10 + -4m + 6m2) 10 + -4m + 6m2 + (3m2 + 7m + -12) = 0 Reorder the terms: 10 + -4m + 6m2 + (-12 + 7m + 3m2) = 0 Remove parenthesis around (-12 + 7m + 3m2) 10 + -4m + 6m2 + -12 + 7m + 3m2 = 0 Reorder the terms: 10 + -12 + -4m + 7m + 6m2 + 3m2 = 0 Combine like terms: 10 + -12 = -2 -2 + -4m + 7m + 6m2 + 3m2 = 0 Combine like terms: -4m + 7m = 3m -2 + 3m + 6m2 + 3m2 = 0 Combine like terms: 6m2 + 3m2 = 9m2 -2 + 3m + 9m2 = 0 Solving -2 + 3m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -3m)(1 + -3m) = 0Subproblem 1
Set the factor '(-2 + -3m)' equal to zero and attempt to solve: Simplifying -2 + -3m = 0 Solving -2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 0 + 2 -3m = 0 + 2 Combine like terms: 0 + 2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {-0.6666666667, 0.3333333333}
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