60=x^2-17x

Solution for 60=x^2-17x equation:

Simplifying
60 = x2 + -17x

Reorder the terms:
60 = -17x + x2

Solving
60 = -17x + x2

Solving for variable 'x'.

Reorder the terms:
60 + 17x + -1x2 = -17x + 17x + x2 + -1x2

Combine like terms: -17x + 17x = 0
60 + 17x + -1x2 = 0 + x2 + -1x2
60 + 17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60 + 17x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(3 + x) = 0

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {20, -3}