-5(3b-3)(16b-1)=0

Solution for -5(3b-3)(16b-1)=0 equation:

Simplifying
-5(3b + -3)(16b + -1) = 0

Reorder the terms:
-5(-3 + 3b)(16b + -1) = 0

Reorder the terms:
-5(-3 + 3b)(-1 + 16b) = 0

Multiply (-3 + 3b) * (-1 + 16b)
-5(-3(-1 + 16b) + 3b * (-1 + 16b)) = 0
-5((-1 * -3 + 16b * -3) + 3b * (-1 + 16b)) = 0
-5((3 + -48b) + 3b * (-1 + 16b)) = 0
-5(3 + -48b + (-1 * 3b + 16b * 3b)) = 0
-5(3 + -48b + (-3b + 48b2)) = 0

Combine like terms: -48b + -3b = -51b
-5(3 + -51b + 48b2) = 0
(3 * -5 + -51b * -5 + 48b2 * -5) = 0
(-15 + 255b + -240b2) = 0

Solving
-15 + 255b + -240b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-1 + 17b + -16b2) = 0

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

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

Simplifying
-1 + b = 0

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

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

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

Simplifying
b = 1
Subproblem 2
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
Solution
b = {1, 0.0625}