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Simplifying -21u + -4 = 5u2 Reorder the terms: -4 + -21u = 5u2 Solving -4 + -21u = 5u2 Solving for variable 'u'. Combine like terms: 5u2 + -5u2 = 0 -4 + -21u + -5u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 21u + 5u2) = 0 Factor a trinomial. -1((4 + u)(1 + 5u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 2
Set the factor '(1 + 5u)' equal to zero and attempt to solve: Simplifying 1 + 5u = 0 Solving 1 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5u = 0 + -1 5u = 0 + -1 Combine like terms: 0 + -1 = -1 5u = -1 Divide each side by '5'. u = -0.2 Simplifying u = -0.2Solution
u = {-4, -0.2}
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