8u^2+89u+228=0

Solution for 8u^2+89u+228=0 equation:

Simplifying
8u2 + 89u + 228 = 0

Reorder the terms:
228 + 89u + 8u2 = 0

Solving
228 + 89u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(57 + 8u)(4 + u) = 0

Subproblem 1
Set the factor '(57 + 8u)' equal to zero and attempt to solve:

Simplifying
57 + 8u = 0

Solving
57 + 8u = 0

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

Add '-57' to each side of the equation.
57 + -57 + 8u = 0 + -57

Combine like terms: 57 + -57 = 0
0 + 8u = 0 + -57
8u = 0 + -57

Combine like terms: 0 + -57 = -57
8u = -57

Divide each side by '8'.
u = -7.125

Simplifying
u = -7.125
Subproblem 2
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 = -4
Solution
u = {-7.125, -4}