8(7x2=1)

Solution for 8(7x2=1) equation:

8(7x^2=1)

We move all terms to the left:

8(7x^2-(1))=0

We multiply parentheses

56x^2-8=0

a = 56; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·56·(-8)
Δ = 1792
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:

$\sqrt{\Delta}=\sqrt{1792}=\sqrt{256*7}=\sqrt{256}*\sqrt{7}=16\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{7}}{2*56}=\frac{0-16\sqrt{7}}{112}
=-\frac{16\sqrt{7}}{112}
=-\frac{\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{7}}{2*56}=\frac{0+16\sqrt{7}}{112}
=\frac{16\sqrt{7}}{112}
=\frac{\sqrt{7}}{7}
$