(2x-16)(x-6)=0

Solution for (2x-16)(x-6)=0 equation:

Simplifying
(2x + -16)(x + -6) = 0

Reorder the terms:
(-16 + 2x)(x + -6) = 0

Reorder the terms:
(-16 + 2x)(-6 + x) = 0

Multiply (-16 + 2x) * (-6 + x)
(-16(-6 + x) + 2x * (-6 + x)) = 0
((-6 * -16 + x * -16) + 2x * (-6 + x)) = 0
((96 + -16x) + 2x * (-6 + x)) = 0
(96 + -16x + (-6 * 2x + x * 2x)) = 0
(96 + -16x + (-12x + 2x2)) = 0

Combine like terms: -16x + -12x = -28x
(96 + -28x + 2x2) = 0

Solving
96 + -28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + -14x + x2) = 0

Factor a trinomial.
2((6 + -1x)(8 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {6, 8}