48=-4(4t^2-16t)

Solution for 48=-4(4t^2-16t) equation:

48=-4(4t^2-16t)

We move all terms to the left:

48-(-4(4t^2-16t))=0


We calculate terms in parentheses: -(-4(4t^2-16t)), so:

-4(4t^2-16t)

We multiply parentheses

-16t^2+64t

Back to the equation:

-(-16t^2+64t)


We get rid of parentheses

16t^2-64t+48=0

a = 16; b = -64; c = +48;
Δ = b2-4ac
Δ = -642-4·16·48
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{-(-64)-32}{2*16}=\frac{32}{32}
=1
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+32}{2*16}=\frac{96}{32}
=3
$