6(4b-2b)*8b+3=6b+93

Solution for 6(4b-2b)*8b+3=6b+93 equation:

Simplifying
6(4b + -2b) * 8b + 3 = 6b + 93

Combine like terms: 4b + -2b = 2b
6(2b) * 8b + 3 = 6b + 93

Remove parenthesis around (2b)
6 * 2b * 8b + 3 = 6b + 93

Reorder the terms for easier multiplication:
6 * 2 * 8b * b + 3 = 6b + 93

Multiply 6 * 2
12 * 8b * b + 3 = 6b + 93

Multiply 12 * 8
96b * b + 3 = 6b + 93

Multiply b * b
96b2 + 3 = 6b + 93

Reorder the terms:
3 + 96b2 = 6b + 93

Reorder the terms:
3 + 96b2 = 93 + 6b

Solving
3 + 96b2 = 93 + 6b

Solving for variable 'b'.

Reorder the terms:
3 + -93 + -6b + 96b2 = 93 + 6b + -93 + -6b

Combine like terms: 3 + -93 = -90
-90 + -6b + 96b2 = 93 + 6b + -93 + -6b

Reorder the terms:
-90 + -6b + 96b2 = 93 + -93 + 6b + -6b

Combine like terms: 93 + -93 = 0
-90 + -6b + 96b2 = 0 + 6b + -6b
-90 + -6b + 96b2 = 6b + -6b

Combine like terms: 6b + -6b = 0
-90 + -6b + 96b2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + -1b + 16b2) = 0

Factor a trinomial.
6((-15 + -16b)(1 + -1b)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-15 + -16b)' equal to zero and attempt to solve:

Simplifying
-15 + -16b = 0

Solving
-15 + -16b = 0

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

Add '15' to each side of the equation.
-15 + 15 + -16b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -16b = 0 + 15
-16b = 0 + 15

Combine like terms: 0 + 15 = 15
-16b = 15

Divide each side by '-16'.
b = -0.9375

Simplifying
b = -0.9375
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 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 + -1b = 0 + -1

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

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

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {-0.9375, 1}