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Simplifying (9 + -1u)(4 + 4u) = 0 Multiply (9 + -1u) * (4 + 4u) (9(4 + 4u) + -1u * (4 + 4u)) = 0 ((4 * 9 + 4u * 9) + -1u * (4 + 4u)) = 0 ((36 + 36u) + -1u * (4 + 4u)) = 0 (36 + 36u + (4 * -1u + 4u * -1u)) = 0 (36 + 36u + (-4u + -4u2)) = 0 Combine like terms: 36u + -4u = 32u (36 + 32u + -4u2) = 0 Solving 36 + 32u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 8u + -1u2) = 0 Factor a trinomial. 4((9 + -1u)(1 + u)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {9, -1}
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