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Simplifying 6u(2 + -1u) = 6 (2 * 6u + -1u * 6u) = 6 (12u + -6u2) = 6 Solving 12u + -6u2 = 6 Solving for variable 'u'. Reorder the terms: -6 + 12u + -6u2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 12u + -6u2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + 2u + -1u2) = 0 Factor a trinomial. 6((-1 + u)(1 + -1u)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + u)' equal to zero and attempt to solve: Simplifying -1 + u = 0 Solving -1 + u = 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 + u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + u = 0 + 1 u = 0 + 1 Combine like terms: 0 + 1 = 1 u = 1 Simplifying u = 1Subproblem 2
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 = 1Solution
u = {1, 1}
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