$$A = ( 4 x - 3 ) ^ { 2 } - ( 4 x - 3 ) ( 2 x + 5 )$$
$A=2\left(x-4\right)\left(4x-3\right)$
$x=\frac{-\sqrt{8A+169}+19}{8}$
$x=\frac{\sqrt{8A+169}+19}{8}$
$x=\frac{-\sqrt{8A+169}+19}{8}$
$x=\frac{\sqrt{8A+169}+19}{8}\text{, }A\geq -\frac{169}{8}$