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Simplifying 8 = m2 + 2m Reorder the terms: 8 = 2m + m2 Solving 8 = 2m + m2 Solving for variable 'm'. Reorder the terms: 8 + -2m + -1m2 = 2m + -2m + m2 + -1m2 Combine like terms: 2m + -2m = 0 8 + -2m + -1m2 = 0 + m2 + -1m2 8 + -2m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 8 + -2m + -1m2 = 0 Factor a trinomial. (2 + -1m)(4 + m) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {2, -4}
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