X^2-80=38x

Solution for X^2-80=38x equation:

X^2-80=38X

We move all terms to the left:

X^2-80-(38X)=0

a = 1; b = -38; c = -80;
Δ = b2-4ac
Δ = -382-4·1·(-80)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-42}{2*1}=\frac{-4}{2}
=-2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+42}{2*1}=\frac{80}{2}
=40
$