Solve 3x^3-9x^2-12x

x = - 1, 0, and 4

Step-by-step explanation:

Step 1: Set the expression equal to zero. Solving means to find out what values of x make the equation equal zero.

3x³ - 9x² - 12x = 0

Step 2: Factor out the largest common factor is there is one.

Here the largest common factor is 3x. Now we have

3x (x² - 3x - 4) = 0

Step 3: Factor the quadratic expression x² - 3x - 4

3x (x - 4) (x + 1) = 0 (two numbers that add up to - 3 and multiply to - 4)

Step 4: Set each term equal to zero and solve ...

3x = 0, so x = 0 (divide both sides by 3 to isolate x)

x - 4 = 0, so x = 4 (add 4 to both sides to isolate x)

x + 1 = 0, so x = - 1 (subtract 1 from both sides to isolate x)

So our solutions are

x = - 1, 0, and 4