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Simplifying 4u2 + -15u + 11 = 0 Reorder the terms: 11 + -15u + 4u2 = 0 Solving 11 + -15u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -1u)(11 + -4u) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(11 + -4u)' equal to zero and attempt to solve: Simplifying 11 + -4u = 0 Solving 11 + -4u = 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 + -4u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4u = 0 + -11 -4u = 0 + -11 Combine like terms: 0 + -11 = -11 -4u = -11 Divide each side by '-4'. u = 2.75 Simplifying u = 2.75Solution
u = {1, 2.75}
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