-16x^2+30x+5.8=0

Solution for -16x^2+30x+5.8=0 equation:

-16x^2+30x+5.8=0

a = -16; b = 30; c = +5.8;
Δ = b2-4ac
Δ = 302-4·(-16)·5.8
Δ = 1271.2
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{-(30)-\sqrt{1271.2}}{2*-16}=\frac{-30-\sqrt{1271.2}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+\sqrt{1271.2}}{2*-16}=\frac{-30+\sqrt{1271.2}}{-32}
$