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

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

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

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

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

Multiply (1 + 8x) * (-6 + x)
X(1(-6 + x) + 8x * (-6 + x)) = 0
X((-6 * 1 + x * 1) + 8x * (-6 + x)) = 0
X((-6 + 1x) + 8x * (-6 + x)) = 0
X(-6 + 1x + (-6 * 8x + x * 8x)) = 0
X(-6 + 1x + (-48x + 8x2)) = 0

Combine like terms: 1x + -48x = -47x
X(-6 + -47x + 8x2) = 0
(-6 * X + -47x * X + 8x2 * X) = 0
(-6X + -47xX + 8x2X) = 0

Solving
-6X + -47xX + 8x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-6 + -47x + 8x2) = 0

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

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0
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

Add '8x' to each side of the equation.
-8x + 8x = 1 + 8x

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

Simplifying
0 = 1 + 8x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Add 'x' to each side of the equation.
-1x + x = -6 + x

Combine like terms: -1x + x = 0
0 = -6 + x

Simplifying
0 = -6 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}