0=2u^2-3u+79

Solution for 0=2u^2-3u+79 equation:

Simplifying
0 = 2u2 + -3u + 79

Reorder the terms:
0 = 79 + -3u + 2u2

Solving
0 = 79 + -3u + 2u2

Solving for variable 'u'.

Combine like terms: 0 + -79 = -79
-79 + 3u + -2u2 = 79 + -3u + 2u2 + -79 + 3u + -2u2

Reorder the terms:
-79 + 3u + -2u2 = 79 + -79 + -3u + 3u + 2u2 + -2u2

Combine like terms: 79 + -79 = 0
-79 + 3u + -2u2 = 0 + -3u + 3u + 2u2 + -2u2
-79 + 3u + -2u2 = -3u + 3u + 2u2 + -2u2

Combine like terms: -3u + 3u = 0
-79 + 3u + -2u2 = 0 + 2u2 + -2u2
-79 + 3u + -2u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-79 + 3u + -2u2 = 0

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

Divide each side by '-2'.
39.5 + -1.5u + u2 = 0

Move the constant term to the right:

Add '-39.5' to each side of the equation.
39.5 + -1.5u + -39.5 + u2 = 0 + -39.5

Reorder the terms:
39.5 + -39.5 + -1.5u + u2 = 0 + -39.5

Combine like terms: 39.5 + -39.5 = 0.0
0.0 + -1.5u + u2 = 0 + -39.5
-1.5u + u2 = 0 + -39.5

Combine like terms: 0 + -39.5 = -39.5
-1.5u + u2 = -39.5

The u term is -1.5u.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5u + 0.5625 + u2 = -39.5 + 0.5625

Reorder the terms:
0.5625 + -1.5u + u2 = -39.5 + 0.5625

Combine like terms: -39.5 + 0.5625 = -38.9375
0.5625 + -1.5u + u2 = -38.9375

Factor a perfect square on the left side:
(u + -0.75)(u + -0.75) = -38.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.