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Simplifying 8u4 + -50u3 + -42u2 = 0 Reorder the terms: -42u2 + -50u3 + 8u4 = 0 Solving -42u2 + -50u3 + 8u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u2'. 2u2(-21 + -25u + 4u2) = 0 Factor a trinomial. 2u2((-3 + -4u)(7 + -1u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
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 3
Set the factor '(7 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7Solution
u = {0, -0.75, 7}
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