-6b(4b+4)+(25b-8)=0

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Solution for -6b(4b+4)+(25b-8)=0 equation: 


Simplifying
-6b(4b + 4) + (25b + -8) = 0

Reorder the terms:
-6b(4 + 4b) + (25b + -8) = 0
(4 * -6b + 4b * -6b) + (25b + -8) = 0
(-24b + -24b2) + (25b + -8) = 0

Reorder the terms:
-24b + -24b2 + (-8 + 25b) = 0

Remove parenthesis around (-8 + 25b)
-24b + -24b2 + -8 + 25b = 0

Reorder the terms:
-8 + -24b + 25b + -24b2 = 0

Combine like terms: -24b + 25b = 1b
-8 + 1b + -24b2 = 0

Solving
-8 + 1b + -24b2 = 0

Solving for variable 'b'.

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
0.3333333333 + -0.04166666667b + b2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.04166666667b + -0.3333333333 + b2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.04166666667b + b2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.04166666667b + b2 = 0 + -0.3333333333
-0.04166666667b + b2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.04166666667b + b2 = -0.3333333333

The b term is -0.04166666667b.  Take half its coefficient (-0.02083333334).
Square it (0.0004340277781) and add it to both sides.

Add '0.0004340277781' to each side of the equation.
-0.04166666667b + 0.0004340277781 + b2 = -0.3333333333 + 0.0004340277781

Reorder the terms:
0.0004340277781 + -0.04166666667b + b2 = -0.3333333333 + 0.0004340277781

Combine like terms: -0.3333333333 + 0.0004340277781 = -0.3328993055219
0.0004340277781 + -0.04166666667b + b2 = -0.3328993055219

Factor a perfect square on the left side:
(b + -0.02083333334)(b + -0.02083333334) = -0.3328993055219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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