x^2-2x+60=900

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

Simplifying
x2 + -2x + 60 = 900

Reorder the terms:
60 + -2x + x2 = 900

Solving
60 + -2x + x2 = 900

Solving for variable 'x'.

Reorder the terms:
60 + -900 + -2x + x2 = 900 + -900

Combine like terms: 60 + -900 = -840
-840 + -2x + x2 = 900 + -900

Combine like terms: 900 + -900 = 0
-840 + -2x + x2 = 0

Factor a trinomial.
(-28 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28
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 = {-28, 30}