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Simplifying (U + 4)(U + -6) = 0 Reorder the terms: (4 + U)(U + -6) = 0 Reorder the terms: (4 + U)(-6 + U) = 0 Multiply (4 + U) * (-6 + U) (4(-6 + U) + U(-6 + U)) = 0 ((-6 * 4 + U * 4) + U(-6 + U)) = 0 ((-24 + 4U) + U(-6 + U)) = 0 (-24 + 4U + (-6 * U + U * U)) = 0 (-24 + 4U + (-6U + U2)) = 0 Combine like terms: 4U + -6U = -2U (-24 + -2U + U2) = 0 Solving -24 + -2U + U2 = 0 Solving for variable 'U'. Factor a trinomial. (-4 + -1U)(6 + -1U) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(6 + -1U)' equal to zero and attempt to solve: Simplifying 6 + -1U = 0 Solving 6 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1U = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1U = 0 + -6 -1U = 0 + -6 Combine like terms: 0 + -6 = -6 -1U = -6 Divide each side by '-1'. U = 6 Simplifying U = 6Solution
U = {-4, 6}
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