What is the answer to 3x4 7x3 4x2 equals 0?

Answer 1

The four solution values of x of 3x4 + 7x3 + 4x2 = 0 are:

x = -11/3, -1, 0 (repeated)

3x4 + 7x3 + 4x2 = 0

⇒ x2(3x2 + 7x + 4) = 0

⇒ x2(3x + 4)(x + 1) = 0

⇒ x2 = 0 → x = 0 (repeated)

or (3x + 4) = 0 → x = -4/3 = -11/3

or (x + 1) = 0 → x = -1