2b[b-(4b-5)]=3b+4

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Solution for 2b[b-(4b-5)]=3b+4 equation: 


Simplifying
2b[b + -1(4b + -5)] = 3b + 4

Reorder the terms:
2b[b + -1(-5 + 4b)] = 3b + 4
2b[b + (-5 * -1 + 4b * -1)] = 3b + 4
2b[b + (5 + -4b)] = 3b + 4

Reorder the terms:
2b[5 + b + -4b] = 3b + 4

Combine like terms: b + -4b = -3b
2b[5 + -3b] = 3b + 4
[5 * 2b + -3b * 2b] = 3b + 4
[10b + -6b2] = 3b + 4

Reorder the terms:
10b + -6b2 = 4 + 3b

Solving
10b + -6b2 = 4 + 3b

Solving for variable 'b'.

Reorder the terms:
-4 + 10b + -3b + -6b2 = 4 + 3b + -4 + -3b

Combine like terms: 10b + -3b = 7b
-4 + 7b + -6b2 = 4 + 3b + -4 + -3b

Reorder the terms:
-4 + 7b + -6b2 = 4 + -4 + 3b + -3b

Combine like terms: 4 + -4 = 0
-4 + 7b + -6b2 = 0 + 3b + -3b
-4 + 7b + -6b2 = 3b + -3b

Combine like terms: 3b + -3b = 0
-4 + 7b + -6b2 = 0

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

Divide each side by '-6'.
0.6666666667 + -1.166666667b + b2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.166666667b + -0.6666666667 + b2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.166666667b + b2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.166666667b + b2 = 0 + -0.6666666667
-1.166666667b + b2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.166666667b + b2 = -0.6666666667

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 = -0.6666666667 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667b + b2 = -0.6666666667 + 0.3402777780

Combine like terms: -0.6666666667 + 0.3402777780 = -0.3263888887
0.3402777780 + -1.166666667b + b2 = -0.3263888887

Factor a perfect square on the left side:
(b + -0.5833333335)(b + -0.5833333335) = -0.3263888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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