6(x+8)(8x+1)=0

Solution for 6(x+8)(8x+1)=0 equation:

Simplifying
6(x + 8)(8x + 1) = 0

Reorder the terms:
6(8 + x)(8x + 1) = 0

Reorder the terms:
6(8 + x)(1 + 8x) = 0

Multiply (8 + x) * (1 + 8x)
6(8(1 + 8x) + x(1 + 8x)) = 0
6((1 * 8 + 8x * 8) + x(1 + 8x)) = 0
6((8 + 64x) + x(1 + 8x)) = 0
6(8 + 64x + (1 * x + 8x * x)) = 0
6(8 + 64x + (1x + 8x2)) = 0

Combine like terms: 64x + 1x = 65x
6(8 + 65x + 8x2) = 0
(8 * 6 + 65x * 6 + 8x2 * 6) = 0
(48 + 390x + 48x2) = 0

Solving
48 + 390x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + 65x + 8x2) = 0

Factor a trinomial.
6((8 + x)(1 + 8x)) = 0

Ignore the factor 6.
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 '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-8, -0.125}