(x-8)(2x-6)=

Solution for (x-8)(2x-6)= equation:

Simplifying
(x + -8)(2x + -6) = 0

Reorder the terms:
(-8 + x)(2x + -6) = 0

Reorder the terms:
(-8 + x)(-6 + 2x) = 0

Multiply (-8 + x) * (-6 + 2x)
(-8(-6 + 2x) + x(-6 + 2x)) = 0
((-6 * -8 + 2x * -8) + x(-6 + 2x)) = 0
((48 + -16x) + x(-6 + 2x)) = 0
(48 + -16x + (-6 * x + 2x * x)) = 0
(48 + -16x + (-6x + 2x2)) = 0

Combine like terms: -16x + -6x = -22x
(48 + -22x + 2x2) = 0

Solving
48 + -22x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -11x + x2) = 0

Factor a trinomial.
2((3 + -1x)(8 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
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 = {3, 8}