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Simplifying m(m + -1)(2m + 5) = 0 Reorder the terms: m(-1 + m)(2m + 5) = 0 Reorder the terms: m(-1 + m)(5 + 2m) = 0 Multiply (-1 + m) * (5 + 2m) m(-1(5 + 2m) + m(5 + 2m)) = 0 m((5 * -1 + 2m * -1) + m(5 + 2m)) = 0 m((-5 + -2m) + m(5 + 2m)) = 0 m(-5 + -2m + (5 * m + 2m * m)) = 0 m(-5 + -2m + (5m + 2m2)) = 0 Combine like terms: -2m + 5m = 3m m(-5 + 3m + 2m2) = 0 (-5 * m + 3m * m + 2m2 * m) = 0 (-5m + 3m2 + 2m3) = 0 Solving -5m + 3m2 + 2m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-5 + 3m + 2m2) = 0 Factor a trinomial. m((-5 + -2m)(1 + -1m)) = 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 '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {0, -2.5, 1}
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