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Simplifying (-2u + -5)(2u + 5) = 0 Reorder the terms: (-5 + -2u)(2u + 5) = 0 Reorder the terms: (-5 + -2u)(5 + 2u) = 0 Multiply (-5 + -2u) * (5 + 2u) (-5(5 + 2u) + -2u * (5 + 2u)) = 0 ((5 * -5 + 2u * -5) + -2u * (5 + 2u)) = 0 ((-25 + -10u) + -2u * (5 + 2u)) = 0 (-25 + -10u + (5 * -2u + 2u * -2u)) = 0 (-25 + -10u + (-10u + -4u2)) = 0 Combine like terms: -10u + -10u = -20u (-25 + -20u + -4u2) = 0 Solving -25 + -20u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 20u + 4u2) = 0 Factor a trinomial. -1((5 + 2u)(5 + 2u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 2u)' equal to zero and attempt to solve: Simplifying 5 + 2u = 0 Solving 5 + 2u = 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 + 2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 0 + -5 2u = 0 + -5 Combine like terms: 0 + -5 = -5 2u = -5 Divide each side by '2'. u = -2.5 Simplifying u = -2.5Subproblem 2
Set the factor '(5 + 2u)' equal to zero and attempt to solve: Simplifying 5 + 2u = 0 Solving 5 + 2u = 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 + 2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 0 + -5 2u = 0 + -5 Combine like terms: 0 + -5 = -5 2u = -5 Divide each side by '2'. u = -2.5 Simplifying u = -2.5Solution
u = {-2.5, -2.5}
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