32t/16t=2t

Solution for 32t/16t=2t equation:

32t/16t=2t

We move all terms to the left:

32t/16t-(2t)=0


Domain of the equation: 16t!=0

t!=0/16

t!=0

t∈R


We add all the numbers together, and all the variables

-2t+32t/16t=0

We multiply all the terms by the denominator


-2t*16t+32t=0

We add all the numbers together, and all the variables

32t-2t*16t=0

Wy multiply elements

-32t^2+32t=0

a = -32; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·(-32)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*-32}=\frac{-64}{-64}
=1
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*-32}=\frac{0}{-64}
=0
$