(X(x-2))/60=720

Solution for (X(x-2))/60=720 equation:

(X(X-2))/60=720

We move all terms to the left:

(X(X-2))/60-(720)=0

We multiply all the terms by the denominator


(X(X-2))-720*60=0


We calculate terms in parentheses: +(X(X-2)), so:

X(X-2)

We multiply parentheses

X^2-2X

Back to the equation:

+(X^2-2X)


We add all the numbers together, and all the variables

(X^2-2X)-43200=0

We get rid of parentheses

X^2-2X-43200=0

a = 1; b = -2; c = -43200;
Δ = b2-4ac
Δ = -22-4·1·(-43200)
Δ = 172804
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:

$\sqrt{\Delta}=\sqrt{172804}=\sqrt{4*43201}=\sqrt{4}*\sqrt{43201}=2\sqrt{43201}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{43201}}{2*1}=\frac{2-2\sqrt{43201}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{43201}}{2*1}=\frac{2+2\sqrt{43201}}{2}
$