0=26x-x^2-144

Solution for 0=26x-x^2-144 equation:

Simplifying
0 = 26x + -1x2 + -144

Reorder the terms:
0 = -144 + 26x + -1x2

Solving
0 = -144 + 26x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 144 = 144
144 + -26x + x2 = -144 + 26x + -1x2 + 144 + -26x + x2

Reorder the terms:
144 + -26x + x2 = -144 + 144 + 26x + -26x + -1x2 + x2

Combine like terms: -144 + 144 = 0
144 + -26x + x2 = 0 + 26x + -26x + -1x2 + x2
144 + -26x + x2 = 26x + -26x + -1x2 + x2

Combine like terms: 26x + -26x = 0
144 + -26x + x2 = 0 + -1x2 + x2
144 + -26x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
144 + -26x + x2 = 0

Factor a trinomial.
(8 + -1x)(18 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {8, 18}