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

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

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

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

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

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

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

Combine like terms: 40x + 12x = 52x
x(240 + 52x + 2x2) = 0
(240 * x + 52x * x + 2x2 * x) = 0
(240x + 52x2 + 2x3) = 0

Solving
240x + 52x2 + 2x3 = 0

Solving for variable 'x'.

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

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

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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 3
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 = {0, -20, -6}