0=x^2-60x+900

Solution for 0=x^2-60x+900 equation:

Simplifying
0 = x2 + -60x + 900

Reorder the terms:
0 = 900 + -60x + x2

Solving
0 = 900 + -60x + x2

Solving for variable 'x'.

Combine like terms: 0 + -900 = -900
-900 + 60x + -1x2 = 900 + -60x + x2 + -900 + 60x + -1x2

Reorder the terms:
-900 + 60x + -1x2 = 900 + -900 + -60x + 60x + x2 + -1x2

Combine like terms: 900 + -900 = 0
-900 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2
-900 + 60x + -1x2 = -60x + 60x + x2 + -1x2

Combine like terms: -60x + 60x = 0
-900 + 60x + -1x2 = 0 + x2 + -1x2
-900 + 60x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-900 + 60x + -1x2 = 0

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

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

Simplifying
-30 + x = 0

Solving
-30 + x = 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 + x = 0 + 30

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

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

Simplifying
x = 30
Subproblem 2
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
Solution
x = {30, 30}