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Simplifying 40u2 + 15u + -55 = 0 Reorder the terms: -55 + 15u + 40u2 = 0 Solving -55 + 15u + 40u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(-11 + 3u + 8u2) = 0 Factor a trinomial. 5((-11 + -8u)(1 + -1u)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -8u)' equal to zero and attempt to solve: Simplifying -11 + -8u = 0 Solving -11 + -8u = 0 Move all terms containing u to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -8u = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8u = 0 + 11 -8u = 0 + 11 Combine like terms: 0 + 11 = 11 -8u = 11 Divide each side by '-8'. u = -1.375 Simplifying u = -1.375Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 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 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {-1.375, 1}
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