(4x+2)(3x+3)=

Solution for (4x+2)(3x+3)= equation:

Simplifying
(4x + 2)(3x + 3) = 0

Reorder the terms:
(2 + 4x)(3x + 3) = 0

Reorder the terms:
(2 + 4x)(3 + 3x) = 0

Multiply (2 + 4x) * (3 + 3x)
(2(3 + 3x) + 4x * (3 + 3x)) = 0
((3 * 2 + 3x * 2) + 4x * (3 + 3x)) = 0
((6 + 6x) + 4x * (3 + 3x)) = 0
(6 + 6x + (3 * 4x + 3x * 4x)) = 0
(6 + 6x + (12x + 12x2)) = 0

Combine like terms: 6x + 12x = 18x
(6 + 18x + 12x2) = 0

Solving
6 + 18x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + 3x + 2x2) = 0

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

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1, -0.5}