## Algebra 1

$x*(2x+3)=96$ $2x^2+3x=96$ $2x^2+3x-96=96-96$ $2x^2+3x-96=0$ A graphing calculator shows $x=-7.72$ and $x=6.219$; however, we can't have a negative length. $x*(2x+3)= 96$ $6.22*(2*6.22+3)=96$ $6.22*(12.44+3)=96$ $6.22*15.44=96$ $96.0368 \approx 96$ (due to rounding)