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Simplifying (u + -1)(u + -1) = 0 Reorder the terms: (-1 + u)(u + -1) = 0 Reorder the terms: (-1 + u)(-1 + u) = 0 Multiply (-1 + u) * (-1 + u) (-1(-1 + u) + u(-1 + u)) = 0 ((-1 * -1 + u * -1) + u(-1 + u)) = 0 ((1 + -1u) + u(-1 + u)) = 0 (1 + -1u + (-1 * u + u * u)) = 0 (1 + -1u + (-1u + u2)) = 0 Combine like terms: -1u + -1u = -2u (1 + -2u + u2) = 0 Solving 1 + -2u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -1u)(1 + -1u) = 0Subproblem 1
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 = 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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