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Simplifying -3(u + 7)(-1u + -4) = 0 Reorder the terms: -3(7 + u)(-1u + -4) = 0 Reorder the terms: -3(7 + u)(-4 + -1u) = 0 Multiply (7 + u) * (-4 + -1u) -3(7(-4 + -1u) + u(-4 + -1u)) = 0 -3((-4 * 7 + -1u * 7) + u(-4 + -1u)) = 0 -3((-28 + -7u) + u(-4 + -1u)) = 0 -3(-28 + -7u + (-4 * u + -1u * u)) = 0 -3(-28 + -7u + (-4u + -1u2)) = 0 Combine like terms: -7u + -4u = -11u -3(-28 + -11u + -1u2) = 0 (-28 * -3 + -11u * -3 + -1u2 * -3) = 0 (84 + 33u + 3u2) = 0 Solving 84 + 33u + 3u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(28 + 11u + u2) = 0 Factor a trinomial. 3((7 + u)(4 + u)) = 0 Ignore the factor 3.Subproblem 1
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 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 = -4Solution
u = {-7, -4}
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