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Simplifying 18M2 + -77M + -18 = 0 Reorder the terms: -18 + -77M + 18M2 = 0 Solving -18 + -77M + 18M2 = 0 Solving for variable 'M'. Factor a trinomial. (-2 + -9M)(9 + -2M) = 0Subproblem 1
Set the factor '(-2 + -9M)' equal to zero and attempt to solve: Simplifying -2 + -9M = 0 Solving -2 + -9M = 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 + -9M = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9M = 0 + 2 -9M = 0 + 2 Combine like terms: 0 + 2 = 2 -9M = 2 Divide each side by '-9'. M = -0.2222222222 Simplifying M = -0.2222222222Subproblem 2
Set the factor '(9 + -2M)' equal to zero and attempt to solve: Simplifying 9 + -2M = 0 Solving 9 + -2M = 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 + -2M = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2M = 0 + -9 -2M = 0 + -9 Combine like terms: 0 + -9 = -9 -2M = -9 Divide each side by '-2'. M = 4.5 Simplifying M = 4.5Solution
M = {-0.2222222222, 4.5}
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