(2x+6)(2x+4)=

Solution for (2x+6)(2x+4)= equation:

Simplifying
(2x + 6)(2x + 4) = 0

Reorder the terms:
(6 + 2x)(2x + 4) = 0

Reorder the terms:
(6 + 2x)(4 + 2x) = 0

Multiply (6 + 2x) * (4 + 2x)
(6(4 + 2x) + 2x * (4 + 2x)) = 0
((4 * 6 + 2x * 6) + 2x * (4 + 2x)) = 0
((24 + 12x) + 2x * (4 + 2x)) = 0
(24 + 12x + (4 * 2x + 2x * 2x)) = 0
(24 + 12x + (8x + 4x2)) = 0

Combine like terms: 12x + 8x = 20x
(24 + 20x + 4x2) = 0

Solving
24 + 20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 5x + x2) = 0

Factor a trinomial.
4((3 + x)(2 + x)) = 0

Ignore the factor 4.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-3, -2}