15n+-6n2=0

Solution for 15n+-6n2=0 equation:

15n+-6n^2=0

We add all the numbers together, and all the variables

-6n^2+15n=0

a = -6; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-6)·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*-6}=\frac{-30}{-12}
=2+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-6}=\frac{0}{-12}
=0
$