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Simplifying m2 + -8m + 18 = 2 Reorder the terms: 18 + -8m + m2 = 2 Solving 18 + -8m + m2 = 2 Solving for variable 'm'. Reorder the terms: 18 + -2 + -8m + m2 = 2 + -2 Combine like terms: 18 + -2 = 16 16 + -8m + m2 = 2 + -2 Combine like terms: 2 + -2 = 0 16 + -8m + m2 = 0 Factor a trinomial. (4 + -1m)(4 + -1m) = 0Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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