(x+2)(x-9)=60

Solution for (x+2)(x-9)=60 equation:

Simplifying
(x + 2)(x + -9) = 60

Reorder the terms:
(2 + x)(x + -9) = 60

Reorder the terms:
(2 + x)(-9 + x) = 60

Multiply (2 + x) * (-9 + x)
(2(-9 + x) + x(-9 + x)) = 60
((-9 * 2 + x * 2) + x(-9 + x)) = 60
((-18 + 2x) + x(-9 + x)) = 60
(-18 + 2x + (-9 * x + x * x)) = 60
(-18 + 2x + (-9x + x2)) = 60

Combine like terms: 2x + -9x = -7x
(-18 + -7x + x2) = 60

Solving
-18 + -7x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-18 + -60 + -7x + x2 = 60 + -60

Combine like terms: -18 + -60 = -78
-78 + -7x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-78 + -7x + x2 = 0

Factor a trinomial.
(-6 + -1x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-6, 13}