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