2(x+3)(x+8)=

Solution for 2(x+3)(x+8)= equation:

Simplifying
2(x + 3)(x + 8) = 0

Reorder the terms:
2(3 + x)(x + 8) = 0

Reorder the terms:
2(3 + x)(8 + x) = 0

Multiply (3 + x) * (8 + x)
2(3(8 + x) + x(8 + x)) = 0
2((8 * 3 + x * 3) + x(8 + x)) = 0
2((24 + 3x) + x(8 + x)) = 0
2(24 + 3x + (8 * x + x * x)) = 0
2(24 + 3x + (8x + x2)) = 0

Combine like terms: 3x + 8x = 11x
2(24 + 11x + x2) = 0
(24 * 2 + 11x * 2 + x2 * 2) = 0
(48 + 22x + 2x2) = 0

Solving
48 + 22x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 11x + x2) = 0

Factor a trinomial.
2((8 + x)(3 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {-8, -3}