2n^2+16n-15=0

Solution for 2n^2+16n-15=0 equation:

2n^2+16n-15=0

a = 2; b = 16; c = -15;
Δ = b2-4ac
Δ = 162-4·2·(-15)
Δ = 376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{376}=\sqrt{4*94}=\sqrt{4}*\sqrt{94}=2\sqrt{94}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{94}}{2*2}=\frac{-16-2\sqrt{94}}{4}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{94}}{2*2}=\frac{-16+2\sqrt{94}}{4}
$