(3+12x+9)(x+3)=

Solution for (3+12x+9)(x+3)= equation:

Simplifying
(3 + 12x + 9)(x + 3) = 0

Reorder the terms:
(3 + 9 + 12x)(x + 3) = 0

Combine like terms: 3 + 9 = 12
(12 + 12x)(x + 3) = 0

Reorder the terms:
(12 + 12x)(3 + x) = 0

Multiply (12 + 12x) * (3 + x)
(12(3 + x) + 12x * (3 + x)) = 0
((3 * 12 + x * 12) + 12x * (3 + x)) = 0
((36 + 12x) + 12x * (3 + x)) = 0
(36 + 12x + (3 * 12x + x * 12x)) = 0
(36 + 12x + (36x + 12x2)) = 0

Combine like terms: 12x + 36x = 48x
(36 + 48x + 12x2) = 0

Solving
36 + 48x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(3 + 4x + x2) = 0

Factor a trinomial.
12((3 + x)(1 + x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-3, -1}