x^2-24x+144=100

Solution for x^2-24x+144=100 equation:

Simplifying
x2 + -24x + 144 = 100

Reorder the terms:
144 + -24x + x2 = 100

Solving
144 + -24x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
144 + -100 + -24x + x2 = 100 + -100

Combine like terms: 144 + -100 = 44
44 + -24x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
44 + -24x + x2 = 0

Factor a trinomial.
(2 + -1x)(22 + -1x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {2, 22}