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Simplifying (u + 3)(2u + -1) = -3 Reorder the terms: (3 + u)(2u + -1) = -3 Reorder the terms: (3 + u)(-1 + 2u) = -3 Multiply (3 + u) * (-1 + 2u) (3(-1 + 2u) + u(-1 + 2u)) = -3 ((-1 * 3 + 2u * 3) + u(-1 + 2u)) = -3 ((-3 + 6u) + u(-1 + 2u)) = -3 (-3 + 6u + (-1 * u + 2u * u)) = -3 (-3 + 6u + (-1u + 2u2)) = -3 Combine like terms: 6u + -1u = 5u (-3 + 5u + 2u2) = -3 Add '3' to each side of the equation. -3 + 5u + 3 + 2u2 = -3 + 3 Reorder the terms: -3 + 3 + 5u + 2u2 = -3 + 3 Combine like terms: -3 + 3 = 0 0 + 5u + 2u2 = -3 + 3 5u + 2u2 = -3 + 3 Combine like terms: -3 + 3 = 0 5u + 2u2 = 0 Solving 5u + 2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(5 + 2u) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 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 = {0, -2.5}
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