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Simplifying m2 + 12m = 28 Reorder the terms: 12m + m2 = 28 Solving 12m + m2 = 28 Solving for variable 'm'. Reorder the terms: -28 + 12m + m2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 12m + m2 = 0 Factor a trinomial. (-14 + -1m)(2 + -1m) = 0Subproblem 1
Set the factor '(-14 + -1m)' equal to zero and attempt to solve: Simplifying -14 + -1m = 0 Solving -14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 0 + 14 -1m = 0 + 14 Combine like terms: 0 + 14 = 14 -1m = 14 Divide each side by '-1'. m = -14 Simplifying m = -14Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-14, 2}
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