8n2+10n+-3=0

Solution for 8n2+10n+-3=0 equation:

8n^2+10n+-3=0

We add all the numbers together, and all the variables

8n^2+10n=0

a = 8; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·8·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*8}=\frac{-20}{16}
=-1+1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*8}=\frac{0}{16}
=0
$