3n^2-88=10n

Solution for 3n^2-88=10n equation:

3n^2-88=10n

We move all terms to the left:

3n^2-88-(10n)=0

a = 3; b = -10; c = -88;
Δ = b2-4ac
Δ = -102-4·3·(-88)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-34}{2*3}=\frac{-24}{6}
=-4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+34}{2*3}=\frac{44}{6}
=7+1/3
$