(2x+3)(x+3)=20

Solution for (2x+3)(x+3)=20 equation:

Simplifying
(2x + 3)(x + 3) = 20

Reorder the terms:
(3 + 2x)(x + 3) = 20

Reorder the terms:
(3 + 2x)(3 + x) = 20

Multiply (3 + 2x) * (3 + x)
(3(3 + x) + 2x * (3 + x)) = 20
((3 * 3 + x * 3) + 2x * (3 + x)) = 20
((9 + 3x) + 2x * (3 + x)) = 20
(9 + 3x + (3 * 2x + x * 2x)) = 20
(9 + 3x + (6x + 2x2)) = 20

Combine like terms: 3x + 6x = 9x
(9 + 9x + 2x2) = 20

Solving
9 + 9x + 2x2 = 20

Solving for variable 'x'.

Reorder the terms:
9 + -20 + 9x + 2x2 = 20 + -20

Combine like terms: 9 + -20 = -11
-11 + 9x + 2x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-11 + 9x + 2x2 = 0

Factor a trinomial.
(-11 + -2x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve:

Simplifying
-11 + -2x = 0

Solving
-11 + -2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 0 + 11
-2x = 0 + 11

Combine like terms: 0 + 11 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5
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 = {-5.5, 1}