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Simplifying 28u5 + -65u4 + -33u3 = 0 Reorder the terms: -33u3 + -65u4 + 28u5 = 0 Solving -33u3 + -65u4 + 28u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u3'. u3(-33 + -65u + 28u2) = 0 Factor a trinomial. u3((-3 + -7u)(11 + -4u)) = 0Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + -7u)' equal to zero and attempt to solve: Simplifying -3 + -7u = 0 Solving -3 + -7u = 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 + -7u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7u = 0 + 3 -7u = 0 + 3 Combine like terms: 0 + 3 = 3 -7u = 3 Divide each side by '-7'. u = -0.4285714286 Simplifying u = -0.4285714286Subproblem 3
Set the factor '(11 + -4u)' equal to zero and attempt to solve: Simplifying 11 + -4u = 0 Solving 11 + -4u = 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 + -4u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4u = 0 + -11 -4u = 0 + -11 Combine like terms: 0 + -11 = -11 -4u = -11 Divide each side by '-4'. u = 2.75 Simplifying u = 2.75Solution
u = {-0.4285714286, 2.75}
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