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Simplifying (u + 4)(u + -2) = 0 Reorder the terms: (4 + u)(u + -2) = 0 Reorder the terms: (4 + u)(-2 + u) = 0 Multiply (4 + u) * (-2 + u) (4(-2 + u) + u(-2 + u)) = 0 ((-2 * 4 + u * 4) + u(-2 + u)) = 0 ((-8 + 4u) + u(-2 + u)) = 0 (-8 + 4u + (-2 * u + u * u)) = 0 (-8 + 4u + (-2u + u2)) = 0 Combine like terms: 4u + -2u = 2u (-8 + 2u + u2) = 0 Solving -8 + 2u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(2 + -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 '(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 = 2Solution
u = {-4, 2}
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