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Simplifying -3u(u + 7)(u + 3) = 0 Reorder the terms: -3u(7 + u)(u + 3) = 0 Reorder the terms: -3u(7 + u)(3 + u) = 0 Multiply (7 + u) * (3 + u) -3u(7(3 + u) + u(3 + u)) = 0 -3u((3 * 7 + u * 7) + u(3 + u)) = 0 -3u((21 + 7u) + u(3 + u)) = 0 -3u(21 + 7u + (3 * u + u * u)) = 0 -3u(21 + 7u + (3u + u2)) = 0 Combine like terms: 7u + 3u = 10u -3u(21 + 10u + u2) = 0 (21 * -3u + 10u * -3u + u2 * -3u) = 0 (-63u + -30u2 + -3u3) = 0 Solving -63u + -30u2 + -3u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-3u'. -3u(21 + 10u + u2) = 0 Factor a trinomial. -3u((7 + u)(3 + u)) = 0 Ignore the factor -3.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 '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 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, -7, -3}
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