x(x+5)=300

Solution for x(x+5)=300 equation:

Simplifying
x(x + 5) = 300

Reorder the terms:
x(5 + x) = 300
(5 * x + x * x) = 300
(5x + x2) = 300

Solving
5x + x2 = 300

Solving for variable 'x'.

Reorder the terms:
-300 + 5x + x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 5x + x2 = 0

Factor a trinomial.
(-20 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-20, 15}