5000=(x+50)x

Solution for 5000=(x+50)x equation:

Simplifying
5000 = (x + 50) * x

Reorder the terms:
5000 = (50 + x) * x

Reorder the terms for easier multiplication:
5000 = x(50 + x)
5000 = (50 * x + x * x)
5000 = (50x + x2)

Solving
5000 = 50x + x2

Solving for variable 'x'.

Reorder the terms:
5000 + -50x + -1x2 = 50x + -50x + x2 + -1x2

Combine like terms: 50x + -50x = 0
5000 + -50x + -1x2 = 0 + x2 + -1x2
5000 + -50x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5000 + -50x + -1x2 = 0

Factor a trinomial.
(50 + -1x)(100 + x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(100 + x)' equal to zero and attempt to solve:

Simplifying
100 + x = 0

Solving
100 + x = 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 + x = 0 + -100

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

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

Simplifying
x = -100
Solution
x = {50, -100}