(x+9)(x+1)=33

Solution for (x+9)(x+1)=33 equation:

Simplifying
(x + 9)(x + 1) = 33

Reorder the terms:
(9 + x)(x + 1) = 33

Reorder the terms:
(9 + x)(1 + x) = 33

Multiply (9 + x) * (1 + x)
(9(1 + x) + x(1 + x)) = 33
((1 * 9 + x * 9) + x(1 + x)) = 33
((9 + 9x) + x(1 + x)) = 33
(9 + 9x + (1 * x + x * x)) = 33
(9 + 9x + (1x + x2)) = 33

Combine like terms: 9x + 1x = 10x
(9 + 10x + x2) = 33

Solving
9 + 10x + x2 = 33

Solving for variable 'x'.

Reorder the terms:
9 + -33 + 10x + x2 = 33 + -33

Combine like terms: 9 + -33 = -24
-24 + 10x + x2 = 33 + -33

Combine like terms: 33 + -33 = 0
-24 + 10x + x2 = 0

Factor a trinomial.
(-12 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-12, 2}