Answer
The equation has no real solution.
Work Step by Step
Given: $-5x^{2}+8x=9$
$\implies -5x^{2}+8x-9=0$
Comparing $-5x^{2}+8x-9=0$ with $ax^{2}+bx+c$, we see that
$a=-5, b=8$ and $c=-9$.
$b^{2}-4ac=(8)^{2}-4(-5)(-9)=64-180=-116$.
The discriminant is less than $0$. So, the equation has no real solution.
