(x+3)(x+10)=0

Solution for (x+3)(x+10)=0 equation:

Simplifying
(x + 3)(x + 10) = 0

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

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

Multiply (3 + x) * (10 + x)
(3(10 + x) + x(10 + x)) = 0
((10 * 3 + x * 3) + x(10 + x)) = 0
((30 + 3x) + x(10 + x)) = 0
(30 + 3x + (10 * x + x * x)) = 0
(30 + 3x + (10x + x2)) = 0

Combine like terms: 3x + 10x = 13x
(30 + 13x + x2) = 0

Solving
30 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(3 + 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 '(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 = {-10, -3}