5(x+6)(x+8)=0

Solution for 5(x+6)(x+8)=0 equation:

Simplifying
5(x + 6)(x + 8) = 0

Reorder the terms:
5(6 + x)(x + 8) = 0

Reorder the terms:
5(6 + x)(8 + x) = 0

Multiply (6 + x) * (8 + x)
5(6(8 + x) + x(8 + x)) = 0
5((8 * 6 + x * 6) + x(8 + x)) = 0
5((48 + 6x) + x(8 + x)) = 0
5(48 + 6x + (8 * x + x * x)) = 0
5(48 + 6x + (8x + x2)) = 0

Combine like terms: 6x + 8x = 14x
5(48 + 14x + x2) = 0
(48 * 5 + 14x * 5 + x2 * 5) = 0
(240 + 70x + 5x2) = 0

Solving
240 + 70x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + 14x + x2) = 0

Factor a trinomial.
5((8 + x)(6 + x)) = 0

Ignore the factor 5.
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 '(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 = {-8, -6}