X^2-38x=360

Solution for X^2-38x=360 equation:

X^2-38X=360

We move all terms to the left:

X^2-38X-(360)=0

a = 1; b = -38; c = -360;
Δ = b2-4ac
Δ = -382-4·1·(-360)
Δ = 2884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2884}=\sqrt{4*721}=\sqrt{4}*\sqrt{721}=2\sqrt{721}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-2\sqrt{721}}{2*1}=\frac{38-2\sqrt{721}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+2\sqrt{721}}{2*1}=\frac{38+2\sqrt{721}}{2}
$