360=(x+6)(x-3)

Solution for 360=(x+6)(x-3) equation:

Simplifying
360 = (x + 6)(x + -3)

Reorder the terms:
360 = (6 + x)(x + -3)

Reorder the terms:
360 = (6 + x)(-3 + x)

Multiply (6 + x) * (-3 + x)
360 = (6(-3 + x) + x(-3 + x))
360 = ((-3 * 6 + x * 6) + x(-3 + x))
360 = ((-18 + 6x) + x(-3 + x))
360 = (-18 + 6x + (-3 * x + x * x))
360 = (-18 + 6x + (-3x + x2))

Combine like terms: 6x + -3x = 3x
360 = (-18 + 3x + x2)

Solving
360 = -18 + 3x + x2

Solving for variable 'x'.

Combine like terms: 360 + 18 = 378
378 + -3x + -1x2 = -18 + 3x + x2 + 18 + -3x + -1x2

Reorder the terms:
378 + -3x + -1x2 = -18 + 18 + 3x + -3x + x2 + -1x2

Combine like terms: -18 + 18 = 0
378 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
378 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
378 + -3x + -1x2 = 0 + x2 + -1x2
378 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
378 + -3x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(21 + x) = 0

Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {18, -21}