(4b+1)(3b+3)=

Solution for (4b+1)(3b+3)= equation:

Simplifying
(4b + 1)(3b + 3) = 0

Reorder the terms:
(1 + 4b)(3b + 3) = 0

Reorder the terms:
(1 + 4b)(3 + 3b) = 0

Multiply (1 + 4b) * (3 + 3b)
(1(3 + 3b) + 4b * (3 + 3b)) = 0
((3 * 1 + 3b * 1) + 4b * (3 + 3b)) = 0
((3 + 3b) + 4b * (3 + 3b)) = 0
(3 + 3b + (3 * 4b + 3b * 4b)) = 0
(3 + 3b + (12b + 12b2)) = 0

Combine like terms: 3b + 12b = 15b
(3 + 15b + 12b2) = 0

Solving
3 + 15b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 5b + 4b2) = 0

Factor a trinomial.
3((1 + b)(1 + 4b)) = 0

Ignore the factor 3.
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 + 4b)' equal to zero and attempt to solve:

Simplifying
1 + 4b = 0

Solving
1 + 4b = 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 + 4b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4b = 0 + -1
4b = 0 + -1

Combine like terms: 0 + -1 = -1
4b = -1

Divide each side by '4'.
b = -0.25

Simplifying
b = -0.25
Solution
b = {-1, -0.25}