x^2-90x=-1800

Solution for x^2-90x=-1800 equation:

Simplifying
x2 + -90x = -1800

Reorder the terms:
-90x + x2 = -1800

Solving
-90x + x2 = -1800

Solving for variable 'x'.

Reorder the terms:
1800 + -90x + x2 = -1800 + 1800

Combine like terms: -1800 + 1800 = 0
1800 + -90x + x2 = 0

Factor a trinomial.
(30 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {30, 60}