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Simplifying 12u2 + -4u + -1 = 0 Reorder the terms: -1 + -4u + 12u2 = 0 Solving -1 + -4u + 12u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -6u)(1 + -2u) = 0Subproblem 1
Set the factor '(-1 + -6u)' equal to zero and attempt to solve: Simplifying -1 + -6u = 0 Solving -1 + -6u = 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 + -6u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6u = 0 + 1 -6u = 0 + 1 Combine like terms: 0 + 1 = 1 -6u = 1 Divide each side by '-6'. u = -0.1666666667 Simplifying u = -0.1666666667Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 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 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Solution
u = {-0.1666666667, 0.5}
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