7n*8n=38n

Solution for 7n*8n=38n equation:

7n*8n=38n

We move all terms to the left:

7n*8n-(38n)=0

We add all the numbers together, and all the variables

-38n+7n*8n=0

Wy multiply elements

56n^2-38n=0

a = 56; b = -38; c = 0;
Δ = b2-4ac
Δ = -382-4·56·0
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-38}{2*56}=\frac{0}{112}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+38}{2*56}=\frac{76}{112}
=19/28
$