# Given f(x)=-3/4x-3/5, for which value of x is f(x)=0?

Nov 15, 2016

$x = - \frac{12}{15}$

#### Explanation:

To solve this problem equate $- \frac{3}{4} x - \frac{3}{5}$ to $0$ and solve for $x$:

$0 = - \frac{3}{4} x - \frac{3}{5}$

$0 + \frac{3}{5} = - \frac{3}{4} x - \frac{3}{5} + \frac{3}{5}$

$\frac{3}{5} = - \frac{3}{4} x$

$- \frac{4}{3} \cdot \frac{3}{5} = - \frac{4}{3} \cdot - \frac{3}{4} x$

$- \frac{12}{15} = 1 x$

$x = - \frac{12}{15}$