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Simplifying (4U + 2)(5 + U) = 0 Reorder the terms: (2 + 4U)(5 + U) = 0 Multiply (2 + 4U) * (5 + U) (2(5 + U) + 4U * (5 + U)) = 0 ((5 * 2 + U * 2) + 4U * (5 + U)) = 0 ((10 + 2U) + 4U * (5 + U)) = 0 (10 + 2U + (5 * 4U + U * 4U)) = 0 (10 + 2U + (20U + 4U2)) = 0 Combine like terms: 2U + 20U = 22U (10 + 22U + 4U2) = 0 Solving 10 + 22U + 4U2 = 0 Solving for variable 'U'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 11U + 2U2) = 0 Factor a trinomial. 2((5 + U)(1 + 2U)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + U)' equal to zero and attempt to solve: Simplifying 5 + U = 0 Solving 5 + U = 0 Move all terms containing U to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + U = 0 + -5 Combine like terms: 5 + -5 = 0 0 + U = 0 + -5 U = 0 + -5 Combine like terms: 0 + -5 = -5 U = -5 Simplifying U = -5Subproblem 2
Set the factor '(1 + 2U)' equal to zero and attempt to solve: Simplifying 1 + 2U = 0 Solving 1 + 2U = 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 + 2U = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2U = 0 + -1 2U = 0 + -1 Combine like terms: 0 + -1 = -1 2U = -1 Divide each side by '2'. U = -0.5 Simplifying U = -0.5Solution
U = {-5, -0.5}
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