480t=660(-t/112)

Solution for 480t=660(-t/112) equation:

480t=660(-t/112)

We move all terms to the left:

480t-(660(-t/112))=0

We multiply all the terms by the denominator


480t*112))-(660(-t=0

We add all the numbers together, and all the variables

-1t+480t*112))-(660(=0

Wy multiply elements

53760t^2-1t=0

a = 53760; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·53760·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*53760}=\frac{0}{107520}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*53760}=\frac{2}{107520}
=1/53760
$