(x+4)(x+3)=20

Solution for (x+4)(x+3)=20 equation:

Simplifying
(x + 4)(x + 3) = 20

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

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

Multiply (4 + x) * (3 + x)
(4(3 + x) + x(3 + x)) = 20
((3 * 4 + x * 4) + x(3 + x)) = 20
((12 + 4x) + x(3 + x)) = 20
(12 + 4x + (3 * x + x * x)) = 20
(12 + 4x + (3x + x2)) = 20

Combine like terms: 4x + 3x = 7x
(12 + 7x + x2) = 20

Solving
12 + 7x + x2 = 20

Solving for variable 'x'.

Reorder the terms:
12 + -20 + 7x + x2 = 20 + -20

Combine like terms: 12 + -20 = -8
-8 + 7x + x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-8 + 7x + x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-8, 1}