x^2-24x+144=16x

Solution for x^2-24x+144=16x equation:

Simplifying
x2 + -24x + 144 = 16x

Reorder the terms:
144 + -24x + x2 = 16x

Solving
144 + -24x + x2 = 16x

Solving for variable 'x'.

Reorder the terms:
144 + -24x + -16x + x2 = 16x + -16x

Combine like terms: -24x + -16x = -40x
144 + -40x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
144 + -40x + x2 = 0

Factor a trinomial.
(4 + -1x)(36 + -1x) = 0

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 '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {4, 36}