720=(8*x-1)*X

Solution for 720=(8*x-1)*X equation:

720=(8*x-1)*x

We move all terms to the left:

720-((8*x-1)*x)=0

We add all the numbers together, and all the variables

-((8x-1)*x)+720=0


We calculate terms in parentheses: -((8x-1)*x), so:

(8x-1)*x

We multiply parentheses

8x^2-1x

Back to the equation:

-(8x^2-1x)


We get rid of parentheses

-8x^2+1x+720=0

We add all the numbers together, and all the variables

-8x^2+x+720=0

a = -8; b = 1; c = +720;
Δ = b2-4ac
Δ = 12-4·(-8)·720
Δ = 23041
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{-(1)-\sqrt{23041}}{2*-8}=\frac{-1-\sqrt{23041}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{23041}}{2*-8}=\frac{-1+\sqrt{23041}}{-16}
$