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Simplifying -12M2 + 16M + 16 = 0 Reorder the terms: 16 + 16M + -12M2 = 0 Solving 16 + 16M + -12M2 = 0 Solving for variable 'M'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 4M + -3M2) = 0 Factor a trinomial. 4((2 + -1M)(2 + 3M)) = 0 Ignore the factor 4.Subproblem 1
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 = 2Subproblem 2
Set the factor '(2 + 3M)' equal to zero and attempt to solve: Simplifying 2 + 3M = 0 Solving 2 + 3M = 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 + 3M = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3M = 0 + -2 3M = 0 + -2 Combine like terms: 0 + -2 = -2 3M = -2 Divide each side by '3'. M = -0.6666666667 Simplifying M = -0.6666666667Solution
M = {2, -0.6666666667}
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