(x+6)(x-1)=60

Solution for (x+6)(x-1)=60 equation:

Simplifying
(x + 6)(x + -1) = 60

Reorder the terms:
(6 + x)(x + -1) = 60

Reorder the terms:
(6 + x)(-1 + x) = 60

Multiply (6 + x) * (-1 + x)
(6(-1 + x) + x(-1 + x)) = 60
((-1 * 6 + x * 6) + x(-1 + x)) = 60
((-6 + 6x) + x(-1 + x)) = 60
(-6 + 6x + (-1 * x + x * x)) = 60
(-6 + 6x + (-1x + x2)) = 60

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

Solving
-6 + 5x + x2 = 60

Solving for variable 'x'.

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

Combine like terms: -6 + -60 = -66
-66 + 5x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-66 + 5x + x2 = 0

Factor a trinomial.
(-11 + -1x)(6 + -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 '(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
Solution
x = {-11, 6}