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Simplifying 5(u + -3)(-1u + 9) = 0 Reorder the terms: 5(-3 + u)(-1u + 9) = 0 Reorder the terms: 5(-3 + u)(9 + -1u) = 0 Multiply (-3 + u) * (9 + -1u) 5(-3(9 + -1u) + u(9 + -1u)) = 0 5((9 * -3 + -1u * -3) + u(9 + -1u)) = 0 5((-27 + 3u) + u(9 + -1u)) = 0 5(-27 + 3u + (9 * u + -1u * u)) = 0 5(-27 + 3u + (9u + -1u2)) = 0 Combine like terms: 3u + 9u = 12u 5(-27 + 12u + -1u2) = 0 (-27 * 5 + 12u * 5 + -1u2 * 5) = 0 (-135 + 60u + -5u2) = 0 Solving -135 + 60u + -5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(-27 + 12u + -1u2) = 0 Factor a trinomial. 5((-9 + u)(3 + -1u)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + u)' equal to zero and attempt to solve: Simplifying -9 + u = 0 Solving -9 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + u = 0 + 9 u = 0 + 9 Combine like terms: 0 + 9 = 9 u = 9 Simplifying u = 9Subproblem 2
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 = {9, 3}
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