# What are all the zeroes of f(x) = (3x-5)(2x+7)?

Aug 2, 2018

$x = \frac{5}{3} , - \frac{7}{2}$

#### Explanation:

We can find the zeroes by setting the expression equal to zero:

$\left(3 x - 5\right) \left(2 x + 7\right) = 0$

We can set both terms equal to zero to get

$3 x - 5 = 0 \implies 3 x = 5 \implies x = \frac{5}{3}$ and

$2 x + 7 = 0 \implies 2 x = - 7 \implies x = - \frac{7}{2}$

Hope this helps!