Answer
$y=\frac{3}{4}$ or $y=-1$
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.
$4y^2+y-3=0$
A product is zero when either factor is zero. Factor the trinomial.
$(4y-3)(y+1)$
Solve each factor for zero.
$4y-3=0$ or $y+1=0$
Use the addition property of equality to solve both equations for x.
$4y-3+3=0+3$ or $y+1-1=0-1$
Simplify.
$4y=3$ or $y=-1$
Use the multiplication property of equality to solve for x.
$4y\div4=3\div4$ or $y=-1$
Simplify.
$y=\frac{3}{4}$ or $y=-1$
