8-8x2+3=0

Solution for 8-8x2+3=0 equation:

8-8x^2+3=0

We add all the numbers together, and all the variables

-8x^2+11=0

a = -8; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-8)·11
Δ = 352
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:

$\sqrt{\Delta}=\sqrt{352}=\sqrt{16*22}=\sqrt{16}*\sqrt{22}=4\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{22}}{2*-8}=\frac{0-4\sqrt{22}}{-16}
=-\frac{4\sqrt{22}}{-16}
=-\frac{\sqrt{22}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{22}}{2*-8}=\frac{0+4\sqrt{22}}{-16}
=\frac{4\sqrt{22}}{-16}
=\frac{\sqrt{22}}{-4}
$