5x^2+11u+6=0

Solution for 5x^2+11u+6=0 equation:

Simplifying
5x2 + 11u + 6 = 0

Reorder the terms:
6 + 11u + 5x2 = 0

Solving
6 + 11u + 5x2 = 0

Solving for variable 'u'.

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

Add '-6' to each side of the equation.
6 + 11u + -6 + 5x2 = 0 + -6

Reorder the terms:
6 + -6 + 11u + 5x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11u + 5x2 = 0 + -6
11u + 5x2 = 0 + -6

Combine like terms: 0 + -6 = -6
11u + 5x2 = -6

Add '-5x2' to each side of the equation.
11u + 5x2 + -5x2 = -6 + -5x2

Combine like terms: 5x2 + -5x2 = 0
11u + 0 = -6 + -5x2
11u = -6 + -5x2

Divide each side by '11'.
u = -0.5454545455 + -0.4545454545x2

Simplifying
u = -0.5454545455 + -0.4545454545x2