(8x+8)(x+3)=

Solution for (8x+8)(x+3)= equation:

Simplifying
(8x + 8)(x + 3) = 0

Reorder the terms:
(8 + 8x)(x + 3) = 0

Reorder the terms:
(8 + 8x)(3 + x) = 0

Multiply (8 + 8x) * (3 + x)
(8(3 + x) + 8x * (3 + x)) = 0
((3 * 8 + x * 8) + 8x * (3 + x)) = 0
((24 + 8x) + 8x * (3 + x)) = 0
(24 + 8x + (3 * 8x + x * 8x)) = 0
(24 + 8x + (24x + 8x2)) = 0

Combine like terms: 8x + 24x = 32x
(24 + 32x + 8x2) = 0

Solving
24 + 32x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 4x + x2) = 0

Factor a trinomial.
8((3 + x)(1 + x)) = 0

Ignore the factor 8.
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}