x^2-45x-2250=0

Solution for x^2-45x-2250=0 equation:

Simplifying
x2 + -45x + -2250 = 0

Reorder the terms:
-2250 + -45x + x2 = 0

Solving
-2250 + -45x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-30 + -1x)(75 + -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 '(75 + -1x)' equal to zero and attempt to solve:

Simplifying
75 + -1x = 0

Solving
75 + -1x = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1x = 0 + -75
-1x = 0 + -75

Combine like terms: 0 + -75 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75
Solution
x = {-30, 75}