18x+216=18x(x+12)

Solution for 18x+216=18x(x+12) equation:

Simplifying
18x + 216 = 18x(x + 12)

Reorder the terms:
216 + 18x = 18x(x + 12)

Reorder the terms:
216 + 18x = 18x(12 + x)
216 + 18x = (12 * 18x + x * 18x)
216 + 18x = (216x + 18x2)

Solving
216 + 18x = 216x + 18x2

Solving for variable 'x'.

Combine like terms: 18x + -216x = -198x
216 + -198x + -18x2 = 216x + 18x2 + -216x + -18x2

Reorder the terms:
216 + -198x + -18x2 = 216x + -216x + 18x2 + -18x2

Combine like terms: 216x + -216x = 0
216 + -198x + -18x2 = 0 + 18x2 + -18x2
216 + -198x + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
216 + -198x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '18'.
18(12 + -11x + -1x2) = 0

Factor a trinomial.
18((1 + -1x)(12 + x)) = 0

Ignore the factor 18.
Subproblem 1
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
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {1, -12}