x^2-9(x+1)=-27

Solution for x^2-9(x+1)=-27 equation:

Simplifying
x2 + -9(x + 1) = -27

Reorder the terms:
x2 + -9(1 + x) = -27
x2 + (1 * -9 + x * -9) = -27
x2 + (-9 + -9x) = -27

Reorder the terms:
-9 + -9x + x2 = -27

Solving
-9 + -9x + x2 = -27

Solving for variable 'x'.

Reorder the terms:
-9 + 27 + -9x + x2 = -27 + 27

Combine like terms: -9 + 27 = 18
18 + -9x + x2 = -27 + 27

Combine like terms: -27 + 27 = 0
18 + -9x + x2 = 0

Factor a trinomial.
(3 + -1x)(6 + -1x) = 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 + -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 = {3, 6}