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Simplifying 5u(u + 4)(u + 3) = 0 Reorder the terms: 5u(4 + u)(u + 3) = 0 Reorder the terms: 5u(4 + u)(3 + u) = 0 Multiply (4 + u) * (3 + u) 5u(4(3 + u) + u(3 + u)) = 0 5u((3 * 4 + u * 4) + u(3 + u)) = 0 5u((12 + 4u) + u(3 + u)) = 0 5u(12 + 4u + (3 * u + u * u)) = 0 5u(12 + 4u + (3u + u2)) = 0 Combine like terms: 4u + 3u = 7u 5u(12 + 7u + u2) = 0 (12 * 5u + 7u * 5u + u2 * 5u) = 0 (60u + 35u2 + 5u3) = 0 Solving 60u + 35u2 + 5u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(12 + 7u + u2) = 0 Factor a trinomial. 5u((4 + u)(3 + u)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 3
Set the factor '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3Solution
u = {0, -4, -3}
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