4u^2-11-6=0

Solution for 4u^2-11-6=0 equation:

Simplifying
4u2 + -11 + -6 = 0

Reorder the terms:
-11 + -6 + 4u2 = 0

Combine like terms: -11 + -6 = -17
-17 + 4u2 = 0

Solving
-17 + 4u2 = 0

Solving for variable 'u'.

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

Add '17' to each side of the equation.
-17 + 17 + 4u2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 4u2 = 0 + 17
4u2 = 0 + 17

Combine like terms: 0 + 17 = 17
4u2 = 17

Divide each side by '4'.
u2 = 4.25

Simplifying
u2 = 4.25

Take the square root of each side:
u = {-2.061552813, 2.061552813}