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Simplifying 16u2 + -172u + -44 = 0 Reorder the terms: -44 + -172u + 16u2 = 0 Solving -44 + -172u + 16u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4'. 4(-11 + -43u + 4u2) = 0 Factor a trinomial. 4((-1 + -4u)(11 + -1u)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -4u)' equal to zero and attempt to solve: Simplifying -1 + -4u = 0 Solving -1 + -4u = 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 + -4u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4u = 0 + 1 -4u = 0 + 1 Combine like terms: 0 + 1 = 1 -4u = 1 Divide each side by '-4'. u = -0.25 Simplifying u = -0.25Subproblem 2
Set the factor '(11 + -1u)' equal to zero and attempt to solve: Simplifying 11 + -1u = 0 Solving 11 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1u = 0 + -11 -1u = 0 + -11 Combine like terms: 0 + -11 = -11 -1u = -11 Divide each side by '-1'. u = 11 Simplifying u = 11Solution
u = {-0.25, 11}
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