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Simplifying M2 = 4M + 45 Reorder the terms: M2 = 45 + 4M Solving M2 = 45 + 4M Solving for variable 'M'. Reorder the terms: -45 + -4M + M2 = 45 + 4M + -45 + -4M Reorder the terms: -45 + -4M + M2 = 45 + -45 + 4M + -4M Combine like terms: 45 + -45 = 0 -45 + -4M + M2 = 0 + 4M + -4M -45 + -4M + M2 = 4M + -4M Combine like terms: 4M + -4M = 0 -45 + -4M + M2 = 0 Factor a trinomial. (-5 + -1M)(9 + -1M) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(9 + -1M)' equal to zero and attempt to solve: Simplifying 9 + -1M = 0 Solving 9 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1M = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1M = 0 + -9 -1M = 0 + -9 Combine like terms: 0 + -9 = -9 -1M = -9 Divide each side by '-1'. M = 9 Simplifying M = 9Solution
M = {-5, 9}
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