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Simplifying 3m2 + -10m + 11 = 4 Reorder the terms: 11 + -10m + 3m2 = 4 Solving 11 + -10m + 3m2 = 4 Solving for variable 'm'. Reorder the terms: 11 + -4 + -10m + 3m2 = 4 + -4 Combine like terms: 11 + -4 = 7 7 + -10m + 3m2 = 4 + -4 Combine like terms: 4 + -4 = 0 7 + -10m + 3m2 = 0 Factor a trinomial. (1 + -1m)(7 + -3m) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 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 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Solution
m = {1, 2.333333333}
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