-6b(8b-2)-3b(4+4b)=b

Solution for -6b(8b-2)-3b(4+4b)=b equation:

Simplifying
-6b(8b + -2) + -3b(4 + 4b) = b

Reorder the terms:
-6b(-2 + 8b) + -3b(4 + 4b) = b
(-2 * -6b + 8b * -6b) + -3b(4 + 4b) = b
(12b + -48b2) + -3b(4 + 4b) = b
12b + -48b2 + (4 * -3b + 4b * -3b) = b
12b + -48b2 + (-12b + -12b2) = b

Reorder the terms:
12b + -12b + -48b2 + -12b2 = b

Combine like terms: 12b + -12b = 0
0 + -48b2 + -12b2 = b
-48b2 + -12b2 = b

Combine like terms: -48b2 + -12b2 = -60b2
-60b2 = b

Solving
-60b2 = b

Solving for variable 'b'.

Reorder the terms:
-1b + -60b2 = b + -1b

Combine like terms: b + -1b = 0
-1b + -60b2 = 0

Factor out the Greatest Common Factor (GCF), '-1b'.
-1b(1 + 60b) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

Move all terms containing b to the left, all other terms to the right.

Simplifying
b = 0
Subproblem 2
Set the factor '(1 + 60b)' equal to zero and attempt to solve:

Simplifying
1 + 60b = 0

Solving
1 + 60b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 60b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 60b = 0 + -1
60b = 0 + -1

Combine like terms: 0 + -1 = -1
60b = -1

Divide each side by '60'.
b = -0.01666666667

Simplifying
b = -0.01666666667
Solution
b = {0, -0.01666666667}