16x2+16x+4=2

Solution for 16x2+16x+4=2 equation:

16x^2+16x+4=2

We move all terms to the left:

16x^2+16x+4-(2)=0

We add all the numbers together, and all the variables

16x^2+16x+2=0

a = 16; b = 16; c = +2;
Δ = b2-4ac
Δ = 162-4·16·2
Δ = 128
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:

$\sqrt{\Delta}=\sqrt{128}=\sqrt{64*2}=\sqrt{64}*\sqrt{2}=8\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-8\sqrt{2}}{2*16}=\frac{-16-8\sqrt{2}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+8\sqrt{2}}{2*16}=\frac{-16+8\sqrt{2}}{32}
$