5u^2+46u+41=0

Solution for 5u^2+46u+41=0 equation:

Simplifying
5u2 + 46u + 41 = 0

Reorder the terms:
41 + 46u + 5u2 = 0

Solving
41 + 46u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(41 + 5u)(1 + u) = 0

Subproblem 1
Set the factor '(41 + 5u)' equal to zero and attempt to solve:

Simplifying
41 + 5u = 0

Solving
41 + 5u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-41' to each side of the equation.
41 + -41 + 5u = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 5u = 0 + -41
5u = 0 + -41

Combine like terms: 0 + -41 = -41
5u = -41

Divide each side by '5'.
u = -8.2

Simplifying
u = -8.2
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 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 + u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + u = 0 + -1
u = 0 + -1

Combine like terms: 0 + -1 = -1
u = -1

Simplifying
u = -1
Solution
u = {-8.2, -1}