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Simplifying 7u2 + -48u + -7 = 0 Reorder the terms: -7 + -48u + 7u2 = 0 Solving -7 + -48u + 7u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -7u)(7 + -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 '(7 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7Solution
u = {-0.1428571429, 7}
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