x^2-90x+1449=0

Solution for x^2-90x+1449=0 equation:

Simplifying
x2 + -90x + 1449 = 0

Reorder the terms:
1449 + -90x + x2 = 0

Solving
1449 + -90x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(21 + -1x)(69 + -1x) = 0

Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Subproblem 2
Set the factor '(69 + -1x)' equal to zero and attempt to solve:

Simplifying
69 + -1x = 0

Solving
69 + -1x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -1x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1x = 0 + -69
-1x = 0 + -69

Combine like terms: 0 + -69 = -69
-1x = -69

Divide each side by '-1'.
x = 69

Simplifying
x = 69
Solution
x = {21, 69}