0=x^2-11x-60

Solution for 0=x^2-11x-60 equation:

Simplifying
0 = x2 + -11x + -60

Reorder the terms:
0 = -60 + -11x + x2

Solving
0 = -60 + -11x + x2

Solving for variable 'x'.

Combine like terms: 0 + 60 = 60
60 + 11x + -1x2 = -60 + -11x + x2 + 60 + 11x + -1x2

Reorder the terms:
60 + 11x + -1x2 = -60 + 60 + -11x + 11x + x2 + -1x2

Combine like terms: -60 + 60 = 0
60 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2
60 + 11x + -1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
60 + 11x + -1x2 = 0 + x2 + -1x2
60 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60 + 11x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(4 + x) = 0

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {15, -4}