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Simplifying (6u + 5)(u + -5) = 0 Reorder the terms: (5 + 6u)(u + -5) = 0 Reorder the terms: (5 + 6u)(-5 + u) = 0 Multiply (5 + 6u) * (-5 + u) (5(-5 + u) + 6u * (-5 + u)) = 0 ((-5 * 5 + u * 5) + 6u * (-5 + u)) = 0 ((-25 + 5u) + 6u * (-5 + u)) = 0 (-25 + 5u + (-5 * 6u + u * 6u)) = 0 (-25 + 5u + (-30u + 6u2)) = 0 Combine like terms: 5u + -30u = -25u (-25 + -25u + 6u2) = 0 Solving -25 + -25u + 6u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -6u)(5 + -1u) = 0Subproblem 1
Set the factor '(-5 + -6u)' equal to zero and attempt to solve: Simplifying -5 + -6u = 0 Solving -5 + -6u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6u = 0 + 5 -6u = 0 + 5 Combine like terms: 0 + 5 = 5 -6u = 5 Divide each side by '-6'. u = -0.8333333333 Simplifying u = -0.8333333333Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {-0.8333333333, 5}
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