24b^2-28b+24=0

Solution for 24b^2-28b+24=0 equation:

Simplifying
24b2 + -28b + 24 = 0

Reorder the terms:
24 + -28b + 24b2 = 0

Solving
24 + -28b + 24b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -7b + 6b2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + -7b + 6b2)' equal to zero and attempt to solve:

Simplifying
6 + -7b + 6b2 = 0

Solving
6 + -7b + 6b2 = 0

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

Divide each side by '6'.
1 + -1.166666667b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.166666667b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + -1.166666667b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.166666667b + b2 = 0 + -1
-1.166666667b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.166666667b + b2 = -1

The b term is -1.166666667b.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667b + 0.3402777780 + b2 = -1 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667b + b2 = -1 + 0.3402777780

Combine like terms: -1 + 0.3402777780 = -0.659722222
0.3402777780 + -1.166666667b + b2 = -0.659722222

Factor a perfect square on the left side:
(b + -0.5833333335)(b + -0.5833333335) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.