16x^2+32x+16=25

Solution for 16x^2+32x+16=25 equation:

16x^2+32x+16=25

We move all terms to the left:

16x^2+32x+16-(25)=0

We add all the numbers together, and all the variables

16x^2+32x-9=0

a = 16; b = 32; c = -9;
Δ = b2-4ac
Δ = 322-4·16·(-9)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-40}{2*16}=\frac{-72}{32}
=-2+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+40}{2*16}=\frac{8}{32}
=1/4
$