2u^2-7u+12=0

Solution for 2u^2-7u+12=0 equation:

Simplifying
2u2 + -7u + 12 = 0

Reorder the terms:
12 + -7u + 2u2 = 0

Solving
12 + -7u + 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'.
6 + -3.5u + u2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5u + -6 + u2 = 0 + -6

Reorder the terms:
6 + -6 + -3.5u + u2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5u + u2 = 0 + -6
-3.5u + u2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.5u + u2 = -6

The u term is -3.5u.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5u + 3.0625 + u2 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5u + u2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5u + u2 = -2.9375

Factor a perfect square on the left side:
(u + -1.75)(u + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.