x^2-74x+144=0

Solution for x^2-74x+144=0 equation:

Simplifying
x2 + -74x + 144 = 0

Reorder the terms:
144 + -74x + x2 = 0

Solving
144 + -74x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(72 + -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 '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Solution
x = {2, 72}