x^2-48x+570=x

Solution for x^2-48x+570=x equation:

Simplifying
x2 + -48x + 570 = x

Reorder the terms:
570 + -48x + x2 = x

Solving
570 + -48x + x2 = x

Solving for variable 'x'.

Reorder the terms:
570 + -48x + -1x + x2 = x + -1x

Combine like terms: -48x + -1x = -49x
570 + -49x + x2 = x + -1x

Combine like terms: x + -1x = 0
570 + -49x + x2 = 0

Factor a trinomial.
(19 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
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 = {19, 30}