(x+10)(x+2)=0

Solution for (x+10)(x+2)=0 equation:

Simplifying
(x + 10)(x + 2) = 0

Reorder the terms:
(10 + x)(x + 2) = 0

Reorder the terms:
(10 + x)(2 + x) = 0

Multiply (10 + x) * (2 + x)
(10(2 + x) + x(2 + x)) = 0
((2 * 10 + x * 10) + x(2 + x)) = 0
((20 + 10x) + x(2 + x)) = 0
(20 + 10x + (2 * x + x * x)) = 0
(20 + 10x + (2x + x2)) = 0

Combine like terms: 10x + 2x = 12x
(20 + 12x + x2) = 0

Solving
20 + 12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(2 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-10, -2}