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Simplifying -16 = u(u + 8) Reorder the terms: -16 = u(8 + u) -16 = (8 * u + u * u) -16 = (8u + u2) Solving -16 = 8u + u2 Solving for variable 'u'. Reorder the terms: -16 + -8u + -1u2 = 8u + -8u + u2 + -1u2 Combine like terms: 8u + -8u = 0 -16 + -8u + -1u2 = 0 + u2 + -1u2 -16 + -8u + -1u2 = u2 + -1u2 Combine like terms: u2 + -1u2 = 0 -16 + -8u + -1u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 8u + u2) = 0 Factor a trinomial. -1((4 + u)(4 + u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Solution
u = {-4, -4}
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