x(x+20)=300

Solution for x(x+20)=300 equation:

Simplifying
x(x + 20) = 300

Reorder the terms:
x(20 + x) = 300
(20 * x + x * x) = 300
(20x + x2) = 300

Solving
20x + x2 = 300

Solving for variable 'x'.

Reorder the terms:
-300 + 20x + x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 20x + x2 = 0

Factor a trinomial.
(-30 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-30, 10}