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Simplifying 8u2 + -63u + -8 = 0 Reorder the terms: -8 + -63u + 8u2 = 0 Solving -8 + -63u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -8u)(8 + -1u) = 0Subproblem 1
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 = -0.125Subproblem 2
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Solution
u = {-0.125, 8}
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