(x-9)(2x-8)=

Solution for (x-9)(2x-8)= equation:

Simplifying
(x + -9)(2x + -8) = 0

Reorder the terms:
(-9 + x)(2x + -8) = 0

Reorder the terms:
(-9 + x)(-8 + 2x) = 0

Multiply (-9 + x) * (-8 + 2x)
(-9(-8 + 2x) + x(-8 + 2x)) = 0
((-8 * -9 + 2x * -9) + x(-8 + 2x)) = 0
((72 + -18x) + x(-8 + 2x)) = 0
(72 + -18x + (-8 * x + 2x * x)) = 0
(72 + -18x + (-8x + 2x2)) = 0

Combine like terms: -18x + -8x = -26x
(72 + -26x + 2x2) = 0

Solving
72 + -26x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -13x + x2) = 0

Factor a trinomial.
2((4 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {4, 9}