5000=X^2-50X

Solution for 5000=X^2-50X equation:

Simplifying
5000 = X2 + -50X

Reorder the terms:
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.
(100 + -1X)(50 + X) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(50 + X)' equal to zero and attempt to solve:

Simplifying
50 + X = 0

Solving
50 + X = 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 + X = 0 + -50

Combine like terms: 50 + -50 = 0
0 + X = 0 + -50
X = 0 + -50

Combine like terms: 0 + -50 = -50
X = -50

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