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Simplifying (4M + 2)(3M + -9) = 0 Reorder the terms: (2 + 4M)(3M + -9) = 0 Reorder the terms: (2 + 4M)(-9 + 3M) = 0 Multiply (2 + 4M) * (-9 + 3M) (2(-9 + 3M) + 4M * (-9 + 3M)) = 0 ((-9 * 2 + 3M * 2) + 4M * (-9 + 3M)) = 0 ((-18 + 6M) + 4M * (-9 + 3M)) = 0 (-18 + 6M + (-9 * 4M + 3M * 4M)) = 0 (-18 + 6M + (-36M + 12M2)) = 0 Combine like terms: 6M + -36M = -30M (-18 + -30M + 12M2) = 0 Solving -18 + -30M + 12M2 = 0 Solving for variable 'M'. Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + -5M + 2M2) = 0 Factor a trinomial. 6((-1 + -2M)(3 + -1M)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -2M)' equal to zero and attempt to solve: Simplifying -1 + -2M = 0 Solving -1 + -2M = 0 Move all terms containing M to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2M = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2M = 0 + 1 -2M = 0 + 1 Combine like terms: 0 + 1 = 1 -2M = 1 Divide each side by '-2'. M = -0.5 Simplifying M = -0.5Subproblem 2
Set the factor '(3 + -1M)' equal to zero and attempt to solve: Simplifying 3 + -1M = 0 Solving 3 + -1M = 0 Move all terms containing M to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1M = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1M = 0 + -3 -1M = 0 + -3 Combine like terms: 0 + -3 = -3 -1M = -3 Divide each side by '-1'. M = 3 Simplifying M = 3Solution
M = {-0.5, 3}
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