9x(x+3)=9x+27

Solution for 9x(x+3)=9x+27 equation:

Simplifying
9x(x + 3) = 9x + 27

Reorder the terms:
9x(3 + x) = 9x + 27
(3 * 9x + x * 9x) = 9x + 27
(27x + 9x2) = 9x + 27

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

Solving
27x + 9x2 = 27 + 9x

Solving for variable 'x'.

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

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

Reorder the terms:
-27 + 18x + 9x2 = 27 + -27 + 9x + -9x

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

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

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + 2x + x2) = 0

Factor a trinomial.
9((-3 + -1x)(1 + -1x)) = 0

Ignore the factor 9.
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 '(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 = {-3, 1}