X^2-150X+5000=0

Solution for X^2-150X+5000=0 equation:

Simplifying
X2 + -150X + 5000 = 0

Reorder the terms:
5000 + -150X + X2 = 0

Solving
5000 + -150X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(50 + -1X)(100 + -1X) = 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 + -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
Solution
X = {50, 100}