7n2+336=-98n

Solution for 7n2+336=-98n equation:

7n^2+336=-98n

We move all terms to the left:

7n^2+336-(-98n)=0

We get rid of parentheses

7n^2+98n+336=0

a = 7; b = 98; c = +336;
Δ = b2-4ac
Δ = 982-4·7·336
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(98)-14}{2*7}=\frac{-112}{14}
=-8
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(98)+14}{2*7}=\frac{-84}{14}
=-6
$