x(x+20)=12000

Solution for x(x+20)=12000 equation:

Simplifying
x(x + 20) = 12000

Reorder the terms:
x(20 + x) = 12000
(20 * x + x * x) = 12000
(20x + x2) = 12000

Solving
20x + x2 = 12000

Solving for variable 'x'.

Reorder the terms:
-12000 + 20x + x2 = 12000 + -12000

Combine like terms: 12000 + -12000 = 0
-12000 + 20x + x2 = 0

Factor a trinomial.
(-120 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve:

Simplifying
-120 + -1x = 0

Solving
-120 + -1x = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1x = 0 + 120
-1x = 0 + 120

Combine like terms: 0 + 120 = 120
-1x = 120

Divide each side by '-1'.
x = -120

Simplifying
x = -120
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {-120, 100}