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Simplifying 2M2 + -3M + -20 = 0 Reorder the terms: -20 + -3M + 2M2 = 0 Solving -20 + -3M + 2M2 = 0 Solving for variable 'M'. Factor a trinomial. (-5 + -2M)(4 + -1M) = 0Subproblem 1
Set the factor '(-5 + -2M)' equal to zero and attempt to solve: Simplifying -5 + -2M = 0 Solving -5 + -2M = 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 + -2M = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2M = 0 + 5 -2M = 0 + 5 Combine like terms: 0 + 5 = 5 -2M = 5 Divide each side by '-2'. M = -2.5 Simplifying M = -2.5Subproblem 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 = {-2.5, 4}
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