x^2-10x+60=7260

Solution for x^2-10x+60=7260 equation:

Simplifying
x2 + -10x + 60 = 7260

Reorder the terms:
60 + -10x + x2 = 7260

Solving
60 + -10x + x2 = 7260

Solving for variable 'x'.

Reorder the terms:
60 + -7260 + -10x + x2 = 7260 + -7260

Combine like terms: 60 + -7260 = -7200
-7200 + -10x + x2 = 7260 + -7260

Combine like terms: 7260 + -7260 = 0
-7200 + -10x + x2 = 0

Factor a trinomial.
(-80 + -1x)(90 + -1x) = 0

Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve:

Simplifying
-80 + -1x = 0

Solving
-80 + -1x = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1x = 0 + 80
-1x = 0 + 80

Combine like terms: 0 + 80 = 80
-1x = 80

Divide each side by '-1'.
x = -80

Simplifying
x = -80
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {-80, 90}