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Simplifying -5M2 + 20M + -20 = 0 Reorder the terms: -20 + 20M + -5M2 = 0 Solving -20 + 20M + -5M2 = 0 Solving for variable 'M'. Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 4M + -1M2) = 0 Factor a trinomial. 5((-2 + M)(2 + -1M)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + M)' equal to zero and attempt to solve: Simplifying -2 + M = 0 Solving -2 + M = 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 + M = 0 + 2 Combine like terms: -2 + 2 = 0 0 + M = 0 + 2 M = 0 + 2 Combine like terms: 0 + 2 = 2 M = 2 Simplifying M = 2Subproblem 2
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 = 2Solution
M = {2, 2}
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