X+(x-72)x=180

Solution for X+(x-72)x=180 equation:

X+(X-72)X=180

We move all terms to the left:

X+(X-72)X-(180)=0

We multiply parentheses

X^2+X-72X-180=0

We add all the numbers together, and all the variables

X^2-71X-180=0

a = 1; b = -71; c = -180;
Δ = b2-4ac
Δ = -712-4·1·(-180)
Δ = 5761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-71)-\sqrt{5761}}{2*1}=\frac{71-\sqrt{5761}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71)+\sqrt{5761}}{2*1}=\frac{71+\sqrt{5761}}{2}
$