Answer:
x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Step-by-step explanation:
Solve for x:
x^5 - 5 x^3 + 4 x = 0
The left hand side factors into a product with five terms:
x (x - 2) (x - 1) (x + 1) (x + 2) = 0
Split into five equations:
x - 2 = 0 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 1 to both sides:
x = 2 or x = 1 or x = 0 or x + 1 = 0 or x + 2 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = 0 or x = -1 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 2 or x = 1 or x = 0 or x = -1 or x = -2
