4u^2-3=0

Solution for 4u^2-3=0 equation:

Simplifying
4u2 + -3 = 0

Reorder the terms:
-3 + 4u2 = 0

Solving
-3 + 4u2 = 0

Solving for variable 'u'.

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

Add '3' to each side of the equation.
-3 + 3 + 4u2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4u2 = 0 + 3
4u2 = 0 + 3

Combine like terms: 0 + 3 = 3
4u2 = 3

Divide each side by '4'.
u2 = 0.75

Simplifying
u2 = 0.75

Take the square root of each side:
u = {-0.866025404, 0.866025404}