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Simplifying (u + 25)(-1u + -16) = 0 Reorder the terms: (25 + u)(-1u + -16) = 0 Reorder the terms: (25 + u)(-16 + -1u) = 0 Multiply (25 + u) * (-16 + -1u) (25(-16 + -1u) + u(-16 + -1u)) = 0 ((-16 * 25 + -1u * 25) + u(-16 + -1u)) = 0 ((-400 + -25u) + u(-16 + -1u)) = 0 (-400 + -25u + (-16 * u + -1u * u)) = 0 (-400 + -25u + (-16u + -1u2)) = 0 Combine like terms: -25u + -16u = -41u (-400 + -41u + -1u2) = 0 Solving -400 + -41u + -1u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(400 + 41u + u2) = 0 Factor a trinomial. -1((25 + u)(16 + u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(25 + u)' equal to zero and attempt to solve: Simplifying 25 + u = 0 Solving 25 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + u = 0 + -25 Combine like terms: 25 + -25 = 0 0 + u = 0 + -25 u = 0 + -25 Combine like terms: 0 + -25 = -25 u = -25 Simplifying u = -25Subproblem 2
Set the factor '(16 + u)' equal to zero and attempt to solve: Simplifying 16 + u = 0 Solving 16 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + u = 0 + -16 Combine like terms: 16 + -16 = 0 0 + u = 0 + -16 u = 0 + -16 Combine like terms: 0 + -16 = -16 u = -16 Simplifying u = -16Solution
u = {-25, -16}
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