8(5x2)=64

Solution for 8(5x2)=64 equation:

8(5x^2)=64

We move all terms to the left:

8(5x^2)-(64)=0

a = 85; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·85·(-64)
Δ = 21760
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:

$\sqrt{\Delta}=\sqrt{21760}=\sqrt{256*85}=\sqrt{256}*\sqrt{85}=16\sqrt{85}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{85}}{2*85}=\frac{0-16\sqrt{85}}{170}
=-\frac{16\sqrt{85}}{170}
=-\frac{8\sqrt{85}}{85}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{85}}{2*85}=\frac{0+16\sqrt{85}}{170}
=\frac{16\sqrt{85}}{170}
=\frac{8\sqrt{85}}{85}
$