(x+5)(x+1)=60

Solution for (x+5)(x+1)=60 equation:

Simplifying
(x + 5)(x + 1) = 60

Reorder the terms:
(5 + x)(x + 1) = 60

Reorder the terms:
(5 + x)(1 + x) = 60

Multiply (5 + x) * (1 + x)
(5(1 + x) + x(1 + x)) = 60
((1 * 5 + x * 5) + x(1 + x)) = 60
((5 + 5x) + x(1 + x)) = 60
(5 + 5x + (1 * x + x * x)) = 60
(5 + 5x + (1x + x2)) = 60

Combine like terms: 5x + 1x = 6x
(5 + 6x + x2) = 60

Solving
5 + 6x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
5 + -60 + 6x + x2 = 60 + -60

Combine like terms: 5 + -60 = -55
-55 + 6x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-55 + 6x + x2 = 0

Factor a trinomial.
(-11 + -1x)(5 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-11, 5}