x(x+12)=189

Solution for x(x+12)=189 equation:

Simplifying
x(x + 12) = 189

Reorder the terms:
x(12 + x) = 189
(12 * x + x * x) = 189
(12x + x2) = 189

Solving
12x + x2 = 189

Solving for variable 'x'.

Reorder the terms:
-189 + 12x + x2 = 189 + -189

Combine like terms: 189 + -189 = 0
-189 + 12x + x2 = 0

Factor a trinomial.
(-21 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-21, 9}