x(x+17)=60

Solution for x(x+17)=60 equation:

Simplifying
x(x + 17) = 60

Reorder the terms:
x(17 + x) = 60
(17 * x + x * x) = 60
(17x + x2) = 60

Solving
17x + x2 = 60

Solving for variable 'x'.

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

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

Factor a trinomial.
(-20 + -1x)(3 + -1x) = 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 + -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
Solution
x = {-20, 3}