2u^2-5u+43=0

Solution for 2u^2-5u+43=0 equation:

Simplifying
2u2 + -5u + 43 = 0

Reorder the terms:
43 + -5u + 2u2 = 0

Solving
43 + -5u + 2u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
21.5 + -2.5u + u2 = 0

Move the constant term to the right:

Add '-21.5' to each side of the equation.
21.5 + -2.5u + -21.5 + u2 = 0 + -21.5

Reorder the terms:
21.5 + -21.5 + -2.5u + u2 = 0 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -2.5u + u2 = 0 + -21.5
-2.5u + u2 = 0 + -21.5

Combine like terms: 0 + -21.5 = -21.5
-2.5u + u2 = -21.5

The u term is -2.5u.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5u + 1.5625 + u2 = -21.5 + 1.5625

Reorder the terms:
1.5625 + -2.5u + u2 = -21.5 + 1.5625

Combine like terms: -21.5 + 1.5625 = -19.9375
1.5625 + -2.5u + u2 = -19.9375

Factor a perfect square on the left side:
(u + -1.25)(u + -1.25) = -19.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.