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Simplifying 0 = -5u2 + -15u + 200 Reorder the terms: 0 = 200 + -15u + -5u2 Solving 0 = 200 + -15u + -5u2 Solving for variable 'u'. Combine like terms: 0 + -200 = -200 -200 + 15u + 5u2 = 200 + -15u + -5u2 + -200 + 15u + 5u2 Reorder the terms: -200 + 15u + 5u2 = 200 + -200 + -15u + 15u + -5u2 + 5u2 Combine like terms: 200 + -200 = 0 -200 + 15u + 5u2 = 0 + -15u + 15u + -5u2 + 5u2 -200 + 15u + 5u2 = -15u + 15u + -5u2 + 5u2 Combine like terms: -15u + 15u = 0 -200 + 15u + 5u2 = 0 + -5u2 + 5u2 -200 + 15u + 5u2 = -5u2 + 5u2 Combine like terms: -5u2 + 5u2 = 0 -200 + 15u + 5u2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-40 + 3u + u2) = 0 Factor a trinomial. 5((-8 + -1u)(5 + -1u)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1u)' equal to zero and attempt to solve: Simplifying -8 + -1u = 0 Solving -8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1u = 0 + 8 -1u = 0 + 8 Combine like terms: 0 + 8 = 8 -1u = 8 Divide each side by '-1'. u = -8 Simplifying u = -8Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {-8, 5}
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