1n+130=100n2-70n

Solution for 1n+130=100n2-70n equation:

1n+130=100n^2-70n

We move all terms to the left:

1n+130-(100n^2-70n)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-100n^2+71n+130=0

a = -100; b = 71; c = +130;
Δ = b2-4ac
Δ = 712-4·(-100)·130
Δ = 57041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(71)-\sqrt{57041}}{2*-100}=\frac{-71-\sqrt{57041}}{-200}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(71)+\sqrt{57041}}{2*-100}=\frac{-71+\sqrt{57041}}{-200}
$