2b^2-9b=-12

Solution for 2b^2-9b=-12 equation:

Simplifying
2b2 + -9b = -12

Reorder the terms:
-9b + 2b2 = -12

Solving
-9b + 2b2 = -12

Solving for variable 'b'.

Reorder the terms:
12 + -9b + 2b2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -9b + 2b2 = 0

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

Divide each side by '2'.
6 + -4.5b + b2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4.5b + -6 + b2 = 0 + -6

Reorder the terms:
6 + -6 + -4.5b + b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4.5b + b2 = 0 + -6
-4.5b + b2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4.5b + b2 = -6

The b term is -4.5b.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5b + 5.0625 + b2 = -6 + 5.0625

Reorder the terms:
5.0625 + -4.5b + b2 = -6 + 5.0625

Combine like terms: -6 + 5.0625 = -0.9375
5.0625 + -4.5b + b2 = -0.9375

Factor a perfect square on the left side:
(b + -2.25)(b + -2.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.