20u^2-53+18=0

Solution for 20u^2-53+18=0 equation:

Simplifying
20u2 + -53 + 18 = 0

Reorder the terms:
-53 + 18 + 20u2 = 0

Combine like terms: -53 + 18 = -35
-35 + 20u2 = 0

Solving
-35 + 20u2 = 0

Solving for variable 'u'.

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

Add '35' to each side of the equation.
-35 + 35 + 20u2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 20u2 = 0 + 35
20u2 = 0 + 35

Combine like terms: 0 + 35 = 35
20u2 = 35

Divide each side by '20'.
u2 = 1.75

Simplifying
u2 = 1.75

Take the square root of each side:
u = {-1.322875656, 1.322875656}