160=x(26-x)

Solution for 160=x(26-x) equation:

Simplifying
160 = x(26 + -1x)
160 = (26 * x + -1x * x)
160 = (26x + -1x2)

Solving
160 = 26x + -1x2

Solving for variable 'x'.

Reorder the terms:
160 + -26x + x2 = 26x + -26x + -1x2 + x2

Combine like terms: 26x + -26x = 0
160 + -26x + x2 = 0 + -1x2 + x2
160 + -26x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
160 + -26x + x2 = 0

Factor a trinomial.
(10 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {10, 16}