16x^2+40x=16

Solution for 16x^2+40x=16 equation:

16x^2+40x=16

We move all terms to the left:

16x^2+40x-(16)=0

a = 16; b = 40; c = -16;
Δ = b2-4ac
Δ = 402-4·16·(-16)
Δ = 2624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2624}=\sqrt{64*41}=\sqrt{64}*\sqrt{41}=8\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-8\sqrt{41}}{2*16}=\frac{-40-8\sqrt{41}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+8\sqrt{41}}{2*16}=\frac{-40+8\sqrt{41}}{32}
$