4u^2+96u+92=0

Solution for 4u^2+96u+92=0 equation:

Simplifying
4u2 + 96u + 92 = 0

Reorder the terms:
92 + 96u + 4u2 = 0

Solving
92 + 96u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(23 + 24u + u2) = 0

Factor a trinomial.
4((23 + u)(1 + u)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(23 + u)' equal to zero and attempt to solve:

Simplifying
23 + u = 0

Solving
23 + u = 0

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

Add '-23' to each side of the equation.
23 + -23 + u = 0 + -23

Combine like terms: 23 + -23 = 0
0 + u = 0 + -23
u = 0 + -23

Combine like terms: 0 + -23 = -23
u = -23

Simplifying
u = -23
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 = {-23, -1}