Answer
$y=\frac{2}{3}$ or $y=-\frac{1}{2}$
Work Step by Step
A rational expression is undefined when the value of its denominator is zero. Write and solve an expression where the denominator is zero.
$6y^2-y-2=0$
A product is zero when either factor is zero. Factor the trinomial.
$(3y-2)(2y+1)$
Solve each factor for zero.
$3y-2=0$ or $2y+1=0$
Use the addition property of equality to solve both equations for y.
$3y-2+2=0+2$ or $2y+1-1=0-1$
Simplify.
$3y=2$ or $2y=-1$
Use the multiplication property of equality to solve both equaions for y.
$3y\div3=2\div3$ or $2y\div2=-1\div2$
Simplify.
$y=\frac{2}{3}$ or $y=-\frac{1}{2}$
