x^2-390x+27000=0

Solution for x^2-390x+27000=0 equation:

Simplifying
x2 + -390x + 27000 = 0

Reorder the terms:
27000 + -390x + x2 = 0

Solving
27000 + -390x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(90 + -1x)(300 + -1x) = 0

Subproblem 1
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Subproblem 2
Set the factor '(300 + -1x)' equal to zero and attempt to solve:

Simplifying
300 + -1x = 0

Solving
300 + -1x = 0

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

Add '-300' to each side of the equation.
300 + -300 + -1x = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -1x = 0 + -300
-1x = 0 + -300

Combine like terms: 0 + -300 = -300
-1x = -300

Divide each side by '-1'.
x = 300

Simplifying
x = 300
Solution
x = {90, 300}