0=2b^2-5b+12

Solution for 0=2b^2-5b+12 equation:

Simplifying
0 = 2b2 + -5b + 12

Reorder the terms:
0 = 12 + -5b + 2b2

Solving
0 = 12 + -5b + 2b2

Solving for variable 'b'.

Combine like terms: 0 + -12 = -12
-12 + 5b + -2b2 = 12 + -5b + 2b2 + -12 + 5b + -2b2

Reorder the terms:
-12 + 5b + -2b2 = 12 + -12 + -5b + 5b + 2b2 + -2b2

Combine like terms: 12 + -12 = 0
-12 + 5b + -2b2 = 0 + -5b + 5b + 2b2 + -2b2
-12 + 5b + -2b2 = -5b + 5b + 2b2 + -2b2

Combine like terms: -5b + 5b = 0
-12 + 5b + -2b2 = 0 + 2b2 + -2b2
-12 + 5b + -2b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
-12 + 5b + -2b2 = 0

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

Divide each side by '-2'.
6 + -2.5b + b2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.5b + -6 + b2 = 0 + -6

Reorder the terms:
6 + -6 + -2.5b + b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.5b + b2 = 0 + -6
-2.5b + b2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.5b + b2 = -6

The b term is -2.5b.  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.
-2.5b + 1.5625 + b2 = -6 + 1.5625

Reorder the terms:
1.5625 + -2.5b + b2 = -6 + 1.5625

Combine like terms: -6 + 1.5625 = -4.4375
1.5625 + -2.5b + b2 = -4.4375

Factor a perfect square on the left side:
(b + -1.25)(b + -1.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.