(2x-4)(8x-1)=0

Solution for (2x-4)(8x-1)=0 equation:

Simplifying
(2x + -4)(8x + -1) = 0

Reorder the terms:
(-4 + 2x)(8x + -1) = 0

Reorder the terms:
(-4 + 2x)(-1 + 8x) = 0

Multiply (-4 + 2x) * (-1 + 8x)
(-4(-1 + 8x) + 2x * (-1 + 8x)) = 0
((-1 * -4 + 8x * -4) + 2x * (-1 + 8x)) = 0
((4 + -32x) + 2x * (-1 + 8x)) = 0
(4 + -32x + (-1 * 2x + 8x * 2x)) = 0
(4 + -32x + (-2x + 16x2)) = 0

Combine like terms: -32x + -2x = -34x
(4 + -34x + 16x2) = 0

Solving
4 + -34x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -17x + 8x2) = 0

Factor a trinomial.
2((1 + -8x)(2 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.125, 2}