(2x+40)(x+6)=0

Solution for (2x+40)(x+6)=0 equation:

Simplifying
(2x + 40)(x + 6) = 0

Reorder the terms:
(40 + 2x)(x + 6) = 0

Reorder the terms:
(40 + 2x)(6 + x) = 0

Multiply (40 + 2x) * (6 + x)
(40(6 + x) + 2x * (6 + x)) = 0
((6 * 40 + x * 40) + 2x * (6 + x)) = 0
((240 + 40x) + 2x * (6 + x)) = 0
(240 + 40x + (6 * 2x + x * 2x)) = 0
(240 + 40x + (12x + 2x2)) = 0

Combine like terms: 40x + 12x = 52x
(240 + 52x + 2x2) = 0

Solving
240 + 52x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(120 + 26x + x2) = 0

Factor a trinomial.
2((20 + x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-20, -6}