Answer:
x = 3 or x = 2 or x = 0 thus: 5
Step-by-step explanation:
Solve for x over the real numbers:
x^2 = (6 x)/(5 - x)
Cross multiply:
x^2 (5 - x) = 6 x
Expand out terms of the left hand side:
5 x^2 - x^3 = 6 x
Subtract 6 x from both sides:
-x^3 + 5 x^2 - 6 x = 0
The left hand side factors into a product with four terms:
-x (x - 3) (x - 2) = 0
Multiply both sides by -1:
x (x - 3) (x - 2) = 0
Split into three equations:
x - 3 = 0 or x - 2 = 0 or x = 0
Add 3 to both sides:
x = 3 or x - 2 = 0 or x = 0
Add 2 to both sides:
Answer: x = 3 or x = 2 or x = 0
