(3x+3)(4x+6)=

Solution for (3x+3)(4x+6)= equation:

Simplifying
(3x + 3)(4x + 6) = 0

Reorder the terms:
(3 + 3x)(4x + 6) = 0

Reorder the terms:
(3 + 3x)(6 + 4x) = 0

Multiply (3 + 3x) * (6 + 4x)
(3(6 + 4x) + 3x * (6 + 4x)) = 0
((6 * 3 + 4x * 3) + 3x * (6 + 4x)) = 0
((18 + 12x) + 3x * (6 + 4x)) = 0
(18 + 12x + (6 * 3x + 4x * 3x)) = 0
(18 + 12x + (18x + 12x2)) = 0

Combine like terms: 12x + 18x = 30x
(18 + 30x + 12x2) = 0

Solving
18 + 30x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + 5x + 2x2) = 0

Factor a trinomial.
6((3 + 2x)(1 + x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
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 = {-1.5, -1}