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Simplifying u * u = 32 + -4u Multiply u * u u2 = 32 + -4u Solving u2 = 32 + -4u Solving for variable 'u'. Reorder the terms: -32 + 4u + u2 = 32 + -4u + -32 + 4u Reorder the terms: -32 + 4u + u2 = 32 + -32 + -4u + 4u Combine like terms: 32 + -32 = 0 -32 + 4u + u2 = 0 + -4u + 4u -32 + 4u + u2 = -4u + 4u Combine like terms: -4u + 4u = 0 -32 + 4u + u2 = 0 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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