16s^2+56s=49

Solution for 16s^2+56s=49 equation:

16s^2+56s=49

We move all terms to the left:

16s^2+56s-(49)=0

a = 16; b = 56; c = -49;
Δ = b2-4ac
Δ = 562-4·16·(-49)
Δ = 6272
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6272}=\sqrt{3136*2}=\sqrt{3136}*\sqrt{2}=56\sqrt{2}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-56\sqrt{2}}{2*16}=\frac{-56-56\sqrt{2}}{32}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+56\sqrt{2}}{2*16}=\frac{-56+56\sqrt{2}}{32}
$