Answer
$x=5\frac{2}{3}$ or $x=-3$
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.
$(3x-17)(x+3)=0$
A product is zero when either factor is zero.
$3x-17=0$ or $x+3=0$
Use the addition property of equality to solve both equations for x.
$3x-17+17=0+17$ or $x+3-3=0-3$
Simplify.
$3x=17$ or $x=-3$
Use the multiplication property of equality to solve the first equation for x.
$3x\div3=17\div3$ or $x=-3$
Simplify.
$x=5\frac{2}{3}$ or $x=-3$