16b(b-3)+(b-3)=

Solution for 16b(b-3)+(b-3)= equation:

Simplifying
16b(b + -3) + (b + -3) = 0

Reorder the terms:
16b(-3 + b) + (b + -3) = 0
(-3 * 16b + b * 16b) + (b + -3) = 0
(-48b + 16b2) + (b + -3) = 0

Reorder the terms:
-48b + 16b2 + (-3 + b) = 0

Remove parenthesis around (-3 + b)
-48b + 16b2 + -3 + b = 0

Reorder the terms:
-3 + -48b + b + 16b2 = 0

Combine like terms: -48b + b = -47b
-3 + -47b + 16b2 = 0

Solving
-3 + -47b + 16b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -16b)(3 + -1b) = 0

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

Simplifying
-1 + -16b = 0

Solving
-1 + -16b = 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 + -16b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16b = 0 + 1
-16b = 0 + 1

Combine like terms: 0 + 1 = 1
-16b = 1

Divide each side by '-16'.
b = -0.0625

Simplifying
b = -0.0625
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.0625, 3}