x^2-145x+144=0

Solution for x^2-145x+144=0 equation:

Simplifying
x2 + -145x + 144 = 0

Reorder the terms:
144 + -145x + x2 = 0

Solving
144 + -145x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(144 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(144 + -1x)' equal to zero and attempt to solve:

Simplifying
144 + -1x = 0

Solving
144 + -1x = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1x = 0 + -144

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

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

Divide each side by '-1'.
x = 144

Simplifying
x = 144
Solution
x = {1, 144}