500=x(x+5)

Solution for 500=x(x+5) equation:

Simplifying
500 = x(x + 5)

Reorder the terms:
500 = x(5 + x)
500 = (5 * x + x * x)
500 = (5x + x2)

Solving
500 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
500 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
500 + -5x + -1x2 = 0 + x2 + -1x2
500 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
500 + -5x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(25 + x) = 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 '(25 + x)' equal to zero and attempt to solve:

Simplifying
25 + x = 0

Solving
25 + x = 0

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

Add '-25' to each side of the equation.
25 + -25 + x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + x = 0 + -25
x = 0 + -25

Combine like terms: 0 + -25 = -25
x = -25

Simplifying
x = -25
Solution
x = {20, -25}