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Simplifying (u + -4)(u + 8) = 0 Reorder the terms: (-4 + u)(u + 8) = 0 Reorder the terms: (-4 + u)(8 + u) = 0 Multiply (-4 + u) * (8 + u) (-4(8 + u) + u(8 + u)) = 0 ((8 * -4 + u * -4) + u(8 + u)) = 0 ((-32 + -4u) + u(8 + u)) = 0 (-32 + -4u + (8 * u + u * u)) = 0 (-32 + -4u + (8u + u2)) = 0 Combine like terms: -4u + 8u = 4u (-32 + 4u + u2) = 0 Solving -32 + 4u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + -1u)(4 + -1u) = 0Subproblem 1
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 = -8Subproblem 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 = 4Solution
u = {-8, 4}
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