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Simplifying (4 + U)(3U + 8) = 0 Reorder the terms: (4 + U)(8 + 3U) = 0 Multiply (4 + U) * (8 + 3U) (4(8 + 3U) + U(8 + 3U)) = 0 ((8 * 4 + 3U * 4) + U(8 + 3U)) = 0 ((32 + 12U) + U(8 + 3U)) = 0 (32 + 12U + (8 * U + 3U * U)) = 0 (32 + 12U + (8U + 3U2)) = 0 Combine like terms: 12U + 8U = 20U (32 + 20U + 3U2) = 0 Solving 32 + 20U + 3U2 = 0 Solving for variable 'U'. Factor a trinomial. (4 + U)(8 + 3U) = 0Subproblem 1
Set the factor '(4 + U)' equal to zero and attempt to solve: Simplifying 4 + U = 0 Solving 4 + U = 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 + U = 0 + -4 Combine like terms: 4 + -4 = 0 0 + U = 0 + -4 U = 0 + -4 Combine like terms: 0 + -4 = -4 U = -4 Simplifying U = -4Subproblem 2
Set the factor '(8 + 3U)' equal to zero and attempt to solve: Simplifying 8 + 3U = 0 Solving 8 + 3U = 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 + 3U = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3U = 0 + -8 3U = 0 + -8 Combine like terms: 0 + -8 = -8 3U = -8 Divide each side by '3'. U = -2.666666667 Simplifying U = -2.666666667Solution
U = {-4, -2.666666667}
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