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

Solution for (8x+3)(x+8)=0 equation:

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

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

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

Multiply (3 + 8x) * (8 + x)
(3(8 + x) + 8x * (8 + x)) = 0
((8 * 3 + x * 3) + 8x * (8 + x)) = 0
((24 + 3x) + 8x * (8 + x)) = 0
(24 + 3x + (8 * 8x + x * 8x)) = 0
(24 + 3x + (64x + 8x2)) = 0

Combine like terms: 3x + 64x = 67x
(24 + 67x + 8x2) = 0

Solving
24 + 67x + 8x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 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 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {-8, -0.375}