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Simplifying (9 + -1m)(4m + -2) = 0 Reorder the terms: (9 + -1m)(-2 + 4m) = 0 Multiply (9 + -1m) * (-2 + 4m) (9(-2 + 4m) + -1m * (-2 + 4m)) = 0 ((-2 * 9 + 4m * 9) + -1m * (-2 + 4m)) = 0 ((-18 + 36m) + -1m * (-2 + 4m)) = 0 (-18 + 36m + (-2 * -1m + 4m * -1m)) = 0 (-18 + 36m + (2m + -4m2)) = 0 Combine like terms: 36m + 2m = 38m (-18 + 38m + -4m2) = 0 Solving -18 + 38m + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 19m + -2m2) = 0 Factor a trinomial. 2((-9 + m)(1 + -2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + m)' equal to zero and attempt to solve: Simplifying -9 + m = 0 Solving -9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + m = 0 + 9 m = 0 + 9 Combine like terms: 0 + 9 = 9 m = 9 Simplifying m = 9Subproblem 2
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 = 0.5Solution
m = {9, 0.5}
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