10x*x=8*16

Solution for 10x*x=8*16 equation:

10x*x=8*16

We move all terms to the left:

10x*x-(8*16)=0

We add all the numbers together, and all the variables

10x*x-128=0

Wy multiply elements

10x^2-128=0

a = 10; b = 0; c = -128;
Δ = b2-4ac
Δ = 02-4·10·(-128)
Δ = 5120
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:

$\sqrt{\Delta}=\sqrt{5120}=\sqrt{1024*5}=\sqrt{1024}*\sqrt{5}=32\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{5}}{2*10}=\frac{0-32\sqrt{5}}{20}
=-\frac{32\sqrt{5}}{20}
=-\frac{8\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{5}}{2*10}=\frac{0+32\sqrt{5}}{20}
=\frac{32\sqrt{5}}{20}
=\frac{8\sqrt{5}}{5}
$