16x^2+32x-29=0

Solution for 16x^2+32x-29=0 equation:

16x^2+32x-29=0

a = 16; b = 32; c = -29;
Δ = b2-4ac
Δ = 322-4·16·(-29)
Δ = 2880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-24\sqrt{5}}{2*16}=\frac{-32-24\sqrt{5}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+24\sqrt{5}}{2*16}=\frac{-32+24\sqrt{5}}{32}
$