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Simplifying 3u(u + 4)(u + -3) = 0 Reorder the terms: 3u(4 + u)(u + -3) = 0 Reorder the terms: 3u(4 + u)(-3 + u) = 0 Multiply (4 + u) * (-3 + u) 3u(4(-3 + u) + u(-3 + u)) = 0 3u((-3 * 4 + u * 4) + u(-3 + u)) = 0 3u((-12 + 4u) + u(-3 + u)) = 0 3u(-12 + 4u + (-3 * u + u * u)) = 0 3u(-12 + 4u + (-3u + u2)) = 0 Combine like terms: 4u + -3u = 1u 3u(-12 + 1u + u2) = 0 (-12 * 3u + 1u * 3u + u2 * 3u) = 0 (-36u + 3u2 + 3u3) = 0 Solving -36u + 3u2 + 3u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(-12 + u + u2) = 0 Factor a trinomial. 3u((-4 + -1u)(3 + -1u)) = 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 '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 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 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 3
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 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 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Solution
u = {0, -4, 3}
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