564t=744t(t-1)

Solution for 564t=744t(t-1) equation:

564t=744t(t-1)

We move all terms to the left:

564t-(744t(t-1))=0


We calculate terms in parentheses: -(744t(t-1)), so:

744t(t-1)

We multiply parentheses

744t^2-744t

Back to the equation:

-(744t^2-744t)


We get rid of parentheses

-744t^2+564t+744t=0

We add all the numbers together, and all the variables

-744t^2+1308t=0

a = -744; b = 1308; c = 0;
Δ = b2-4ac
Δ = 13082-4·(-744)·0
Δ = 1710864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1710864}=1308$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1308)-1308}{2*-744}=\frac{-2616}{-1488}
=1+47/62
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1308)+1308}{2*-744}=\frac{0}{-1488}
=0
$