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Simplifying 40u2 + 11u + -2 = 0 Reorder the terms: -2 + 11u + 40u2 = 0 Solving -2 + 11u + 40u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + -5u)(1 + -8u) = 0Subproblem 1
Set the factor '(-2 + -5u)' equal to zero and attempt to solve: Simplifying -2 + -5u = 0 Solving -2 + -5u = 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 + -5u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5u = 0 + 2 -5u = 0 + 2 Combine like terms: 0 + 2 = 2 -5u = 2 Divide each side by '-5'. u = -0.4 Simplifying u = -0.4Subproblem 2
Set the factor '(1 + -8u)' equal to zero and attempt to solve: Simplifying 1 + -8u = 0 Solving 1 + -8u = 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 + -8u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8u = 0 + -1 -8u = 0 + -1 Combine like terms: 0 + -1 = -1 -8u = -1 Divide each side by '-8'. u = 0.125 Simplifying u = 0.125Solution
u = {-0.4, 0.125}
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