20u+4u^2+25=0

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Solution for 20u+4u^2+25=0 equation:


Simplifying
20u + 4u2 + 25 = 0

Reorder the terms:
25 + 20u + 4u2 = 0

Solving
25 + 20u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(5 + 2u)(5 + 2u) = 0

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 = -2.5

Subproblem 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 = -2.5

Solution

u = {-2.5, -2.5}

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