## Algebra and Trigonometry 10th Edition

$x=-\frac{3}{2}$
$f(x)=4x+6$ Since we are solving for all the real values of $x$ when $f(x) = 0$, set the function $f(x)=4x+6$ equal to zero and we get the following equation: $4x+6=0$ Now subtract 6 from both sides of the equation so that all of the constants are on the right side of the equation and all of the $x$ terms are on the left side. $4x+6-6=0-6$ $4x=-6$ Once all of the constants are on the right and all the $x$ terms are on the left, solve for $x$ by dividing both sides by $4$. $\frac{4x}{4}=\frac{-6}{4}$ $x=\frac{-6}{4}$ Now simplify the fraction by dividing both the numerator and denominator by 2. $x=-\frac{3}{2}$