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Simplifying 3m2 + -1m = 10m + 4 Reorder the terms: -1m + 3m2 = 10m + 4 Reorder the terms: -1m + 3m2 = 4 + 10m Solving -1m + 3m2 = 4 + 10m Solving for variable 'm'. Reorder the terms: -4 + -1m + -10m + 3m2 = 4 + 10m + -4 + -10m Combine like terms: -1m + -10m = -11m -4 + -11m + 3m2 = 4 + 10m + -4 + -10m Reorder the terms: -4 + -11m + 3m2 = 4 + -4 + 10m + -10m Combine like terms: 4 + -4 = 0 -4 + -11m + 3m2 = 0 + 10m + -10m -4 + -11m + 3m2 = 10m + -10m Combine like terms: 10m + -10m = 0 -4 + -11m + 3m2 = 0 Factor a trinomial. (-1 + -3m)(4 + -1m) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.3333333333, 4}
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