480t=660(t-1/2)

Solution for 480t=660(t-1/2) equation:

480t=660(t-1/2)

We move all terms to the left:

480t-(660(t-1/2))=0

We add all the numbers together, and all the variables

480t-(660(+t-1/2))=0

We multiply all the terms by the denominator


480t*2))-(660(+t-1=0

We add all the numbers together, and all the variables

t+480t*2))-(660(-1=0

Wy multiply elements

960t^2+t-1=0

a = 960; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·960·(-1)
Δ = 3841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{3841}}{2*960}=\frac{-1-\sqrt{3841}}{1920}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{3841}}{2*960}=\frac{-1+\sqrt{3841}}{1920}
$