92u^2+86u=0

Solution for 92u^2+86u=0 equation:

Simplifying
92u2 + 86u = 0

Reorder the terms:
86u + 92u2 = 0

Solving
86u + 92u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(43 + 46u) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(43 + 46u)' equal to zero and attempt to solve:

Simplifying
43 + 46u = 0

Solving
43 + 46u = 0

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

Add '-43' to each side of the equation.
43 + -43 + 46u = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 46u = 0 + -43
46u = 0 + -43

Combine like terms: 0 + -43 = -43
46u = -43

Divide each side by '46'.
u = -0.9347826087

Simplifying
u = -0.9347826087
Solution
u = {0, -0.9347826087}