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Simplifying M2 + -2M + -3 = 5 Reorder the terms: -3 + -2M + M2 = 5 Solving -3 + -2M + M2 = 5 Solving for variable 'M'. Reorder the terms: -3 + -5 + -2M + M2 = 5 + -5 Combine like terms: -3 + -5 = -8 -8 + -2M + M2 = 5 + -5 Combine like terms: 5 + -5 = 0 -8 + -2M + 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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