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Simplifying -5(u + 1)(-1u + -7) = 0 Reorder the terms: -5(1 + u)(-1u + -7) = 0 Reorder the terms: -5(1 + u)(-7 + -1u) = 0 Multiply (1 + u) * (-7 + -1u) -5(1(-7 + -1u) + u(-7 + -1u)) = 0 -5((-7 * 1 + -1u * 1) + u(-7 + -1u)) = 0 -5((-7 + -1u) + u(-7 + -1u)) = 0 -5(-7 + -1u + (-7 * u + -1u * u)) = 0 -5(-7 + -1u + (-7u + -1u2)) = 0 Combine like terms: -1u + -7u = -8u -5(-7 + -8u + -1u2) = 0 (-7 * -5 + -8u * -5 + -1u2 * -5) = 0 (35 + 40u + 5u2) = 0 Solving 35 + 40u + 5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(7 + 8u + u2) = 0 Factor a trinomial. 5((7 + u)(1 + u)) = 0 Ignore the factor 5.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 '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-7, -1}
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