20=(x+2)(x+1)

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Solution for 20=(x+2)(x+1) equation: 


Simplifying
20 = (x + 2)(x + 1)

Reorder the terms:
20 = (2 + x)(x + 1)

Reorder the terms:
20 = (2 + x)(1 + x)

Multiply (2 + x) * (1 + x)
20 = (2(1 + x) + x(1 + x))
20 = ((1 * 2 + x * 2) + x(1 + x))
20 = ((2 + 2x) + x(1 + x))
20 = (2 + 2x + (1 * x + x * x))
20 = (2 + 2x + (1x + x2))

Combine like terms: 2x + 1x = 3x
20 = (2 + 3x + x2)

Solving
20 = 2 + 3x + x2

Solving for variable 'x'.

Combine like terms: 20 + -2 = 18
18 + -3x + -1x2 = 2 + 3x + x2 + -2 + -3x + -1x2

Reorder the terms:
18 + -3x + -1x2 = 2 + -2 + 3x + -3x + x2 + -1x2

Combine like terms: 2 + -2 = 0
18 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
18 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
18 + -3x + -1x2 = 0 + x2 + -1x2
18 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + -3x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(6 + x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {3, -6}

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