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Simplifying -5(u + 2)(-1u + -4) = 0 Reorder the terms: -5(2 + u)(-1u + -4) = 0 Reorder the terms: -5(2 + u)(-4 + -1u) = 0 Multiply (2 + u) * (-4 + -1u) -5(2(-4 + -1u) + u(-4 + -1u)) = 0 -5((-4 * 2 + -1u * 2) + u(-4 + -1u)) = 0 -5((-8 + -2u) + u(-4 + -1u)) = 0 -5(-8 + -2u + (-4 * u + -1u * u)) = 0 -5(-8 + -2u + (-4u + -1u2)) = 0 Combine like terms: -2u + -4u = -6u -5(-8 + -6u + -1u2) = 0 (-8 * -5 + -6u * -5 + -1u2 * -5) = 0 (40 + 30u + 5u2) = 0 Solving 40 + 30u + 5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + 6u + u2) = 0 Factor a trinomial. 5((4 + u)(2 + u)) = 0 Ignore the factor 5.Subproblem 1
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 2
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Solution
u = {-4, -2}
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