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Simplifying 7u2 + -27u + -4 = 0 Reorder the terms: -4 + -27u + 7u2 = 0 Solving -4 + -27u + 7u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -7u)(4 + -1u) = 0Subproblem 1
Set the factor '(-1 + -7u)' equal to zero and attempt to solve: Simplifying -1 + -7u = 0 Solving -1 + -7u = 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 + -7u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7u = 0 + 1 -7u = 0 + 1 Combine like terms: 0 + 1 = 1 -7u = 1 Divide each side by '-7'. u = -0.1428571429 Simplifying u = -0.1428571429Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-0.1428571429, 4}
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