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Simplifying 4u(u2 + -8u + 16) = 0 Reorder the terms: 4u(16 + -8u + u2) = 0 (16 * 4u + -8u * 4u + u2 * 4u) = 0 (64u + -32u2 + 4u3) = 0 Solving 64u + -32u2 + 4u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u'. 4u(16 + -8u + u2) = 0 Factor a trinomial. 4u((4 + -1u)(4 + -1u)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Subproblem 3
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {0, 4, 4}
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