Answer
$x=\displaystyle \frac{1}{2}$ or $x=-\displaystyle \frac{9}{2}$
Work Step by Step
We solve by factoring:
$4x^{2}+16x-9=0$
$(2x-1)(2x+9)=0$
$2x-1=0$ or $2x+9=0$
$x=\displaystyle \frac{1}{2}$ or $x=-\displaystyle \frac{9}{2}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.