x^2-225x+5850=0

Solution for x^2-225x+5850=0 equation:

Simplifying
x2 + -225x + 5850 = 0

Reorder the terms:
5850 + -225x + x2 = 0

Solving
5850 + -225x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(30 + -1x)(195 + -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 '(195 + -1x)' equal to zero and attempt to solve:

Simplifying
195 + -1x = 0

Solving
195 + -1x = 0

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

Add '-195' to each side of the equation.
195 + -195 + -1x = 0 + -195

Combine like terms: 195 + -195 = 0
0 + -1x = 0 + -195
-1x = 0 + -195

Combine like terms: 0 + -195 = -195
-1x = -195

Divide each side by '-1'.
x = 195

Simplifying
x = 195
Solution
x = {30, 195}