X^2+144-24X=X

Solution for X^2+144-24X=X equation:

Simplifying
X2 + 144 + -24X = X

Reorder the terms:
144 + -24X + X2 = X

Solving
144 + -24X + X2 = X

Solving for variable 'X'.

Reorder the terms:
144 + -24X + -1X + X2 = X + -1X

Combine like terms: -24X + -1X = -25X
144 + -25X + X2 = X + -1X

Combine like terms: X + -1X = 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}