X2-x-73=2x+35

Solution for X2-x-73=2x+35 equation:

X2-X-73=2X+35

We move all terms to the left:

X2-X-73-(2X+35)=0

We add all the numbers together, and all the variables

X^2-1X-(2X+35)-73=0

We get rid of parentheses

X^2-1X-2X-35-73=0

We add all the numbers together, and all the variables

X^2-3X-108=0

a = 1; b = -3; c = -108;
Δ = b2-4ac
Δ = -32-4·1·(-108)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-21}{2*1}=\frac{-18}{2}
=-9
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+21}{2*1}=\frac{24}{2}
=12
$