5=6u^2+13u

Solution for 5=6u^2+13u equation:

Simplifying
5 = 6u2 + 13u

Reorder the terms:
5 = 13u + 6u2

Solving
5 = 13u + 6u2

Solving for variable 'u'.

Reorder the terms:
5 + -13u + -6u2 = 13u + -13u + 6u2 + -6u2

Combine like terms: 13u + -13u = 0
5 + -13u + -6u2 = 0 + 6u2 + -6u2
5 + -13u + -6u2 = 6u2 + -6u2

Combine like terms: 6u2 + -6u2 = 0
5 + -13u + -6u2 = 0

Factor a trinomial.
(1 + -3u)(5 + 2u) = 0

Subproblem 1
Set the factor '(1 + -3u)' equal to zero and attempt to solve:

Simplifying
1 + -3u = 0

Solving
1 + -3u = 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 + -3u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3u = 0 + -1
-3u = 0 + -1

Combine like terms: 0 + -1 = -1
-3u = -1

Divide each side by '-3'.
u = 0.3333333333

Simplifying
u = 0.3333333333
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 = {0.3333333333, -2.5}