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Simplifying m(4 + -1m)(5 + m) = 0 Multiply (4 + -1m) * (5 + m) m(4(5 + m) + -1m * (5 + m)) = 0 m((5 * 4 + m * 4) + -1m * (5 + m)) = 0 m((20 + 4m) + -1m * (5 + m)) = 0 m(20 + 4m + (5 * -1m + m * -1m)) = 0 m(20 + 4m + (-5m + -1m2)) = 0 Combine like terms: 4m + -5m = -1m m(20 + -1m + -1m2) = 0 (20 * m + -1m * m + -1m2 * m) = 0 (20m + -1m2 + -1m3) = 0 Solving 20m + -1m2 + -1m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(20 + -1m + -1m2) = 0 Factor a trinomial. m((4 + -1m)(5 + m)) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 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 = 4Subproblem 3
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {0, 4, -5}
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