8(4-x)7x=2

Solution for 8(4-x)7x=2 equation:

8(4-x)7x=2

We move all terms to the left:

8(4-x)7x-(2)=0

We add all the numbers together, and all the variables

8(-1x+4)7x-2=0

We multiply parentheses

-56x^2+224x-2=0

a = -56; b = 224; c = -2;
Δ = b2-4ac
Δ = 2242-4·(-56)·(-2)
Δ = 49728
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:

$\sqrt{\Delta}=\sqrt{49728}=\sqrt{64*777}=\sqrt{64}*\sqrt{777}=8\sqrt{777}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(224)-8\sqrt{777}}{2*-56}=\frac{-224-8\sqrt{777}}{-112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(224)+8\sqrt{777}}{2*-56}=\frac{-224+8\sqrt{777}}{-112}
$