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Simplifying 6m + -2 + m2 + 3 = 56 Reorder the terms: -2 + 3 + 6m + m2 = 56 Combine like terms: -2 + 3 = 1 1 + 6m + m2 = 56 Solving 1 + 6m + m2 = 56 Solving for variable 'm'. Reorder the terms: 1 + -56 + 6m + m2 = 56 + -56 Combine like terms: 1 + -56 = -55 -55 + 6m + m2 = 56 + -56 Combine like terms: 56 + -56 = 0 -55 + 6m + m2 = 0 Factor a trinomial. (-11 + -1m)(5 + -1m) = 0Subproblem 1
Set the factor '(-11 + -1m)' equal to zero and attempt to solve: Simplifying -11 + -1m = 0 Solving -11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1m = 0 + 11 -1m = 0 + 11 Combine like terms: 0 + 11 = 11 -1m = 11 Divide each side by '-1'. m = -11 Simplifying m = -11Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-11, 5}
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