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Simplifying (U + -5)(U + 2) = 0 Reorder the terms: (-5 + U)(U + 2) = 0 Reorder the terms: (-5 + U)(2 + U) = 0 Multiply (-5 + U) * (2 + U) (-5(2 + U) + U(2 + U)) = 0 ((2 * -5 + U * -5) + U(2 + U)) = 0 ((-10 + -5U) + U(2 + U)) = 0 (-10 + -5U + (2 * U + U * U)) = 0 (-10 + -5U + (2U + U2)) = 0 Combine like terms: -5U + 2U = -3U (-10 + -3U + U2) = 0 Solving -10 + -3U + U2 = 0 Solving for variable 'U'. Factor a trinomial. (-2 + -1U)(5 + -1U) = 0Subproblem 1
Set the factor '(-2 + -1U)' equal to zero and attempt to solve: Simplifying -2 + -1U = 0 Solving -2 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1U = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1U = 0 + 2 -1U = 0 + 2 Combine like terms: 0 + 2 = 2 -1U = 2 Divide each side by '-1'. U = -2 Simplifying U = -2Subproblem 2
Set the factor '(5 + -1U)' equal to zero and attempt to solve: Simplifying 5 + -1U = 0 Solving 5 + -1U = 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 + -1U = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1U = 0 + -5 -1U = 0 + -5 Combine like terms: 0 + -5 = -5 -1U = -5 Divide each side by '-1'. U = 5 Simplifying U = 5Solution
U = {-2, 5}
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