4u^2-37+9=0

Solution for 4u^2-37+9=0 equation:

Simplifying
4u2 + -37 + 9 = 0

Reorder the terms:
-37 + 9 + 4u2 = 0

Combine like terms: -37 + 9 = -28
-28 + 4u2 = 0

Solving
-28 + 4u2 = 0

Solving for variable 'u'.

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

Add '28' to each side of the equation.
-28 + 28 + 4u2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 4u2 = 0 + 28
4u2 = 0 + 28

Combine like terms: 0 + 28 = 28
4u2 = 28

Divide each side by '4'.
u2 = 7

Simplifying
u2 = 7

Take the square root of each side:
u = {-2.645751311, 2.645751311}