x^2-300x+22500=0

Solution for x^2-300x+22500=0 equation:

Simplifying
x2 + -300x + 22500 = 0

Reorder the terms:
22500 + -300x + x2 = 0

Solving
22500 + -300x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(150 + -1x)(150 + -1x) = 0

Subproblem 1
Set the factor '(150 + -1x)' equal to zero and attempt to solve:

Simplifying
150 + -1x = 0

Solving
150 + -1x = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1x = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1x = 0 + -150
-1x = 0 + -150

Combine like terms: 0 + -150 = -150
-1x = -150

Divide each side by '-1'.
x = 150

Simplifying
x = 150
Subproblem 2
Set the factor '(150 + -1x)' equal to zero and attempt to solve:

Simplifying
150 + -1x = 0

Solving
150 + -1x = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1x = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1x = 0 + -150
-1x = 0 + -150

Combine like terms: 0 + -150 = -150
-1x = -150

Divide each side by '-1'.
x = 150

Simplifying
x = 150
Solution
x = {150, 150}