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Simplifying 9M2 + 12M + 4 = 16 Reorder the terms: 4 + 12M + 9M2 = 16 Solving 4 + 12M + 9M2 = 16 Solving for variable 'M'. Reorder the terms: 4 + -16 + 12M + 9M2 = 16 + -16 Combine like terms: 4 + -16 = -12 -12 + 12M + 9M2 = 16 + -16 Combine like terms: 16 + -16 = 0 -12 + 12M + 9M2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 4M + 3M2) = 0 Factor a trinomial. 3((-2 + -1M)(2 + -3M)) = 0 Ignore the factor 3.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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