(x^3−7x−6) : (x−4)
kan someone solve this for me, and show how to get it?

x = 3 or x = -1 or x = -2

Step-by-step explanation:

Solve for x:

(x^3 - 7 x - 6)/(x - 4) = 0

Hint: | Multiply both sides by a polynomial to clear fractions.

Multiply both sides by x - 4:

x^3 - 7 x - 6 = 0

Hint: | Factor the left hand side.

The left hand side factors into a product with three terms:

(x - 3) (x + 1) (x + 2) = 0

Hint: | Find the roots of each term in the product separately.

Split into three equations:

x - 3 = 0 or x + 1 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 1 = 0 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

x = 3 or x = -1 or x + 2 = 0

Hint: | Look at the third equation: Solve for x.

Subtract 2 from both sides:

 x = 3 or x = -1 or x = -2