16x+10x^2-50=0

Solution for 16x+10x^2-50=0 equation:

16x+10x^2-50=0

a = 10; b = 16; c = -50;
Δ = b2-4ac
Δ = 162-4·10·(-50)
Δ = 2256
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:

$\sqrt{\Delta}=\sqrt{2256}=\sqrt{16*141}=\sqrt{16}*\sqrt{141}=4\sqrt{141}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{141}}{2*10}=\frac{-16-4\sqrt{141}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{141}}{2*10}=\frac{-16+4\sqrt{141}}{20}
$