7b^2-9b=-12

Solution for 7b^2-9b=-12 equation:

Simplifying
7b2 + -9b = -12

Reorder the terms:
-9b + 7b2 = -12

Solving
-9b + 7b2 = -12

Solving for variable 'b'.

Reorder the terms:
12 + -9b + 7b2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -9b + 7b2 = 0

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

Divide each side by '7'.
1.714285714 + -1.285714286b + b2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + -1.285714286b + -1.714285714 + b2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + -1.285714286b + b2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + -1.285714286b + b2 = 0 + -1.714285714
-1.285714286b + b2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
-1.285714286b + b2 = -1.714285714

The b term is -1.285714286b.  Take half its coefficient (-0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
-1.285714286b + 0.4132653063 + b2 = -1.714285714 + 0.4132653063

Reorder the terms:
0.4132653063 + -1.285714286b + b2 = -1.714285714 + 0.4132653063

Combine like terms: -1.714285714 + 0.4132653063 = -1.3010204077
0.4132653063 + -1.285714286b + b2 = -1.3010204077

Factor a perfect square on the left side:
(b + -0.642857143)(b + -0.642857143) = -1.3010204077

Can't calculate square root of the right side.

The solution to this equation could not be determined.