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Simplifying 4(5m + -1)(m + -4) = 0 Reorder the terms: 4(-1 + 5m)(m + -4) = 0 Reorder the terms: 4(-1 + 5m)(-4 + m) = 0 Multiply (-1 + 5m) * (-4 + m) 4(-1(-4 + m) + 5m * (-4 + m)) = 0 4((-4 * -1 + m * -1) + 5m * (-4 + m)) = 0 4((4 + -1m) + 5m * (-4 + m)) = 0 4(4 + -1m + (-4 * 5m + m * 5m)) = 0 4(4 + -1m + (-20m + 5m2)) = 0 Combine like terms: -1m + -20m = -21m 4(4 + -21m + 5m2) = 0 (4 * 4 + -21m * 4 + 5m2 * 4) = 0 (16 + -84m + 20m2) = 0 Solving 16 + -84m + 20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -21m + 5m2) = 0 Factor a trinomial. 4((1 + -5m)(4 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -5m)' equal to zero and attempt to solve: Simplifying 1 + -5m = 0 Solving 1 + -5m = 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 + -5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 0 + -1 -5m = 0 + -1 Combine like terms: 0 + -1 = -1 -5m = -1 Divide each side by '-5'. m = 0.2 Simplifying m = 0.2Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {0.2, 4}
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