16a^2+2a-10=0

Solution for 16a^2+2a-10=0 equation:

16a^2+2a-10=0

a = 16; b = 2; c = -10;
Δ = b2-4ac
Δ = 22-4·16·(-10)
Δ = 644
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{644}=\sqrt{4*161}=\sqrt{4}*\sqrt{161}=2\sqrt{161}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{161}}{2*16}=\frac{-2-2\sqrt{161}}{32}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{161}}{2*16}=\frac{-2+2\sqrt{161}}{32}
$