(x+8)(x+14)=0

Solution for (x+8)(x+14)=0 equation:

Simplifying
(x + 8)(x + 14) = 0

Reorder the terms:
(8 + x)(x + 14) = 0

Reorder the terms:
(8 + x)(14 + x) = 0

Multiply (8 + x) * (14 + x)
(8(14 + x) + x(14 + x)) = 0
((14 * 8 + x * 8) + x(14 + x)) = 0
((112 + 8x) + x(14 + x)) = 0
(112 + 8x + (14 * x + x * x)) = 0
(112 + 8x + (14x + x2)) = 0

Combine like terms: 8x + 14x = 22x
(112 + 22x + x2) = 0

Solving
112 + 22x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(14 + x)(8 + x) = 0

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Subproblem 2
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
Solution
x = {-14, -8}