X^2-31x=32

Solution for X^2-31x=32 equation:

X^2-31X=32

We move all terms to the left:

X^2-31X-(32)=0

a = 1; b = -31; c = -32;
Δ = b2-4ac
Δ = -312-4·1·(-32)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-33}{2*1}=\frac{-2}{2}
=-1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+33}{2*1}=\frac{64}{2}
=32
$