-16x^2+45x+6=0

Solution for -16x^2+45x+6=0 equation:

-16x^2+45x+6=0

a = -16; b = 45; c = +6;
Δ = b2-4ac
Δ = 452-4·(-16)·6
Δ = 2409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-\sqrt{2409}}{2*-16}=\frac{-45-\sqrt{2409}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{2409}}{2*-16}=\frac{-45+\sqrt{2409}}{-32}
$