Question

3x^2 – X – 2 = 0 how do I solve this by factoring​

Answer 1

Answer:

$x=-\frac{2}{3}$ or $x=1$

Step-by-step explanation:

The given quadratic equation is $3x^2-x-2=0$

You split the middle term with $2x-3x$ to get:

$3x^2+2x-3x-2=0$

We now factor by grouping to get:

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

Factor again to get:

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

Apply the zero product principle to get:

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

This implies that:

$x=-\frac{2}{3}$ or $x=1$