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Simplifying -9 + -6u + 8u2 = 0 Solving -9 + -6u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + -4u)(3 + -2u) = 0Subproblem 1
Set the factor '(-3 + -4u)' equal to zero and attempt to solve: Simplifying -3 + -4u = 0 Solving -3 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4u = 0 + 3 -4u = 0 + 3 Combine like terms: 0 + 3 = 3 -4u = 3 Divide each side by '-4'. u = -0.75 Simplifying u = -0.75Subproblem 2
Set the factor '(3 + -2u)' equal to zero and attempt to solve: Simplifying 3 + -2u = 0 Solving 3 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2u = 0 + -3 -2u = 0 + -3 Combine like terms: 0 + -3 = -3 -2u = -3 Divide each side by '-2'. u = 1.5 Simplifying u = 1.5Solution
u = {-0.75, 1.5}
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