2(x^2+6x+20)=360

Solution for 2(x^2+6x+20)=360 equation:

Simplifying
2(x2 + 6x + 20) = 360

Reorder the terms:
2(20 + 6x + x2) = 360
(20 * 2 + 6x * 2 + x2 * 2) = 360
(40 + 12x + 2x2) = 360

Solving
40 + 12x + 2x2 = 360

Solving for variable 'x'.

Reorder the terms:
40 + -360 + 12x + 2x2 = 360 + -360

Combine like terms: 40 + -360 = -320
-320 + 12x + 2x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-320 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-160 + 6x + x2) = 0

Factor a trinomial.
2((-16 + -1x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-16, 10}