60=17x+x^2

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

Simplifying
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.
(3 + -1x)(20 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

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

Simplifying
20 + x = 0

Solving
20 + x = 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 + x = 0 + -20

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

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

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