(x+0.8)(x-0.8)=23.6

Solution for (x+0.8)(x-0.8)=23.6 equation:

(x+0.8)(x-0.8)=23.6

We move all terms to the left:

(x+0.8)(x-0.8)-(23.6)=0

We add all the numbers together, and all the variables

(x+0.8)(x-0.8)-23.6=0

We use the square of the difference formula

x^2-0.64-23.6=0

We add all the numbers together, and all the variables

x^2-24.24=0

a = 1; b = 0; c = -24.24;
Δ = b2-4ac
Δ = 02-4·1·(-24.24)
Δ = 96.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{96.96}}{2*1}=\frac{0-\sqrt{96.96}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{96.96}}{2*1}=\frac{0+\sqrt{96.96}}{2}
=\frac{\sqrt{}}{2}
$