144=25x-x^2

Solution for 144=25x-x^2 equation:

Simplifying
144 = 25x + -1x2

Solving
144 = 25x + -1x2

Solving for variable 'x'.

Reorder the terms:
144 + -25x + x2 = 25x + -25x + -1x2 + x2

Combine like terms: 25x + -25x = 0
144 + -25x + x2 = 0 + -1x2 + x2
144 + -25x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
144 + -25x + x2 = 0

Factor a trinomial.
(9 + -1x)(16 + -1x) = 0

Subproblem 1
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
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 = {9, 16}