2(x+4)(3x+1)=

Solution for 2(x+4)(3x+1)= equation:

Simplifying
2(x + 4)(3x + 1) = 0

Reorder the terms:
2(4 + x)(3x + 1) = 0

Reorder the terms:
2(4 + x)(1 + 3x) = 0

Multiply (4 + x) * (1 + 3x)
2(4(1 + 3x) + x(1 + 3x)) = 0
2((1 * 4 + 3x * 4) + x(1 + 3x)) = 0
2((4 + 12x) + x(1 + 3x)) = 0
2(4 + 12x + (1 * x + 3x * x)) = 0
2(4 + 12x + (1x + 3x2)) = 0

Combine like terms: 12x + 1x = 13x
2(4 + 13x + 3x2) = 0
(4 * 2 + 13x * 2 + 3x2 * 2) = 0
(8 + 26x + 6x2) = 0

Solving
8 + 26x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13x + 3x2) = 0

Factor a trinomial.
2((4 + x)(1 + 3x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-4, -0.3333333333}