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Simplifying M2 + -6M = -8 Reorder the terms: -6M + M2 = -8 Solving -6M + M2 = -8 Solving for variable 'M'. Reorder the terms: 8 + -6M + M2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -6M + M2 = 0 Factor a trinomial. (2 + -1M)(4 + -1M) = 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 + -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 = {2, 4}
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