(x+3)(x+3+8)=153

Solution for (x+3)(x+3+8)=153 equation:

Simplifying
(x + 3)(x + 3 + 8) = 153

Reorder the terms:
(3 + x)(x + 3 + 8) = 153

Reorder the terms:
(3 + x)(3 + 8 + x) = 153

Combine like terms: 3 + 8 = 11
(3 + x)(11 + x) = 153

Multiply (3 + x) * (11 + x)
(3(11 + x) + x(11 + x)) = 153
((11 * 3 + x * 3) + x(11 + x)) = 153
((33 + 3x) + x(11 + x)) = 153
(33 + 3x + (11 * x + x * x)) = 153
(33 + 3x + (11x + x2)) = 153

Combine like terms: 3x + 11x = 14x
(33 + 14x + x2) = 153

Solving
33 + 14x + x2 = 153

Solving for variable 'x'.

Reorder the terms:
33 + -153 + 14x + x2 = 153 + -153

Combine like terms: 33 + -153 = -120
-120 + 14x + x2 = 153 + -153

Combine like terms: 153 + -153 = 0
-120 + 14x + x2 = 0

Factor a trinomial.
(-20 + -1x)(6 + -1x) = 0

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

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 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 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-20, 6}