Solve the equation by the zero factor property 6x^2 - 5x - 6=0

First, you need to factor the polynomial.

I'll use the trial and error method.

6x^2 - 5x - 6 = 0

6 has factors

6 and 1

3 and 2

I'll try 3 and 2 first.

(3x) (2x) = 0

Now we need to factor - 6.

-6 factors into

-1, 6

-6, 1

-2, 3

-3, 2

Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.

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

That did it.

Now we use the zero factor property.

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

3x = - 2 or 2x = 3

x = - 2/3 or x = 3/2