(5b+1)(b-3)=

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

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

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

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

Multiply (1 + 5b) * (-3 + b)
(1(-3 + b) + 5b * (-3 + b)) = 0
((-3 * 1 + b * 1) + 5b * (-3 + b)) = 0
((-3 + 1b) + 5b * (-3 + b)) = 0
(-3 + 1b + (-3 * 5b + b * 5b)) = 0
(-3 + 1b + (-15b + 5b2)) = 0

Combine like terms: 1b + -15b = -14b
(-3 + -14b + 5b2) = 0

Solving
-3 + -14b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -5b)(3 + -1b) = 0

Subproblem 1
Set the factor '(-1 + -5b)' equal to zero and attempt to solve:

Simplifying
-1 + -5b = 0

Solving
-1 + -5b = 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 + -5b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5b = 0 + 1
-5b = 0 + 1

Combine like terms: 0 + 1 = 1
-5b = 1

Divide each side by '-5'.
b = -0.2

Simplifying
b = -0.2
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 = {-0.2, 3}