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Simplifying (7u + -1) + -1(2u2 + -6u + -1) = 0 Reorder the terms: (-1 + 7u) + -1(2u2 + -6u + -1) = 0 Remove parenthesis around (-1 + 7u) -1 + 7u + -1(2u2 + -6u + -1) = 0 Reorder the terms: -1 + 7u + -1(-1 + -6u + 2u2) = 0 -1 + 7u + (-1 * -1 + -6u * -1 + 2u2 * -1) = 0 -1 + 7u + (1 + 6u + -2u2) = 0 Reorder the terms: -1 + 1 + 7u + 6u + -2u2 = 0 Combine like terms: -1 + 1 = 0 0 + 7u + 6u + -2u2 = 0 7u + 6u + -2u2 = 0 Combine like terms: 7u + 6u = 13u 13u + -2u2 = 0 Solving 13u + -2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(13 + -2u) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(13 + -2u)' equal to zero and attempt to solve: Simplifying 13 + -2u = 0 Solving 13 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2u = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2u = 0 + -13 -2u = 0 + -13 Combine like terms: 0 + -13 = -13 -2u = -13 Divide each side by '-2'. u = 6.5 Simplifying u = 6.5Solution
u = {0, 6.5}
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