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Simplifying M2 = 6M + -5 Reorder the terms: M2 = -5 + 6M Solving M2 = -5 + 6M Solving for variable 'M'. Reorder the terms: 5 + -6M + M2 = -5 + 6M + 5 + -6M Reorder the terms: 5 + -6M + M2 = -5 + 5 + 6M + -6M Combine like terms: -5 + 5 = 0 5 + -6M + M2 = 0 + 6M + -6M 5 + -6M + M2 = 6M + -6M Combine like terms: 6M + -6M = 0 5 + -6M + M2 = 0 Factor a trinomial. (1 + -1M)(5 + -1M) = 0Subproblem 1
Set the factor '(1 + -1M)' equal to zero and attempt to solve: Simplifying 1 + -1M = 0 Solving 1 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1M = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1M = 0 + -1 -1M = 0 + -1 Combine like terms: 0 + -1 = -1 -1M = -1 Divide each side by '-1'. M = 1 Simplifying M = 1Subproblem 2
Set the factor '(5 + -1M)' equal to zero and attempt to solve: Simplifying 5 + -1M = 0 Solving 5 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1M = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1M = 0 + -5 -1M = 0 + -5 Combine like terms: 0 + -5 = -5 -1M = -5 Divide each side by '-1'. M = 5 Simplifying M = 5Solution
M = {1, 5}
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