x^2-16x+60=(x-6)

Solution for x^2-16x+60=(x-6) equation:

Simplifying
x2 + -16x + 60 = (x + -6)

Reorder the terms:
60 + -16x + x2 = (x + -6)

Reorder the terms:
60 + -16x + x2 = (-6 + x)

Remove parenthesis around (-6 + x)
60 + -16x + x2 = -6 + x

Solving
60 + -16x + x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
60 + 6 + -16x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: 60 + 6 = 66
66 + -16x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: -16x + -1x = -17x
66 + -17x + x2 = -6 + x + 6 + -1x

Reorder the terms:
66 + -17x + x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
66 + -17x + x2 = 0 + x + -1x
66 + -17x + x2 = x + -1x

Combine like terms: x + -1x = 0
66 + -17x + x2 = 0

Factor a trinomial.
(6 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

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

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

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {6, 11}