(x+3)(x+20)=

Solution for (x+3)(x+20)= equation:

Simplifying
(x + 3)(x + 20) = 0

Reorder the terms:
(3 + x)(x + 20) = 0

Reorder the terms:
(3 + x)(20 + x) = 0

Multiply (3 + x) * (20 + x)
(3(20 + x) + x(20 + x)) = 0
((20 * 3 + x * 3) + x(20 + x)) = 0
((60 + 3x) + x(20 + x)) = 0
(60 + 3x + (20 * x + x * x)) = 0
(60 + 3x + (20x + x2)) = 0

Combine like terms: 3x + 20x = 23x
(60 + 23x + x2) = 0

Solving
60 + 23x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + x)(3 + x) = 0

Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
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 = {-20, -3}