5u^2=-26u-5

Solution for 5u^2=-26u-5 equation:

Simplifying
5u2 = -26u + -5

Reorder the terms:
5u2 = -5 + -26u

Solving
5u2 = -5 + -26u

Solving for variable 'u'.

Reorder the terms:
5 + 26u + 5u2 = -5 + -26u + 5 + 26u

Reorder the terms:
5 + 26u + 5u2 = -5 + 5 + -26u + 26u

Combine like terms: -5 + 5 = 0
5 + 26u + 5u2 = 0 + -26u + 26u
5 + 26u + 5u2 = -26u + 26u

Combine like terms: -26u + 26u = 0
5 + 26u + 5u2 = 0

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

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

Simplifying
5 + u = 0

Solving
5 + u = 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 + u = 0 + -5

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

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

Simplifying
u = -5
Subproblem 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 = -0.2
Solution
u = {-5, -0.2}