Answer
$x=4\frac{3}{4}$ or $x=-2$
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.
$(4x-19)(x+2)=0$
A product is zero when either factor is zero.
$4x-19=0$ or $x+2=0$
Use the addition property of equality to solve both equations for x.
$4x-19+19=0+19$ or $x+2-2=0-2$
Simplify.
$4x=19$ or $x=-2$
Use the multiplication property of equality to solve the first equation for x.
$4x\div4=19\div3$ or $x=-2$
Simplify.
$x=4\frac{3}{4}$ or $x=-2$
