130n=100n2-70n

Solution for 130n=100n2-70n equation:

130n=100n^2-70n

We move all terms to the left:

130n-(100n^2-70n)=0

We get rid of parentheses

-100n^2+130n+70n=0

We add all the numbers together, and all the variables

-100n^2+200n=0

a = -100; b = 200; c = 0;
Δ = b2-4ac
Δ = 2002-4·(-100)·0
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(200)-200}{2*-100}=\frac{-400}{-200}
=+2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+200}{2*-100}=\frac{0}{-200}
=0
$