5n(14n+3)=0

Solution for 5n(14n+3)=0 equation:

5n(14n+3)=0

We multiply parentheses

70n^2+15n=0

a = 70; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·70·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*70}=\frac{-30}{140}
=-3/14
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*70}=\frac{0}{140}
=0
$