5-(1-2x)8x=15

Solution for 5-(1-2x)8x=15 equation:

5-(1-2x)8x=15

We move all terms to the left:

5-(1-2x)8x-(15)=0

We add all the numbers together, and all the variables

-(-2x+1)8x+5-15=0

We add all the numbers together, and all the variables

-(-2x+1)8x-10=0

We multiply parentheses

16x^2-8x-10=0

a = 16; b = -8; c = -10;
Δ = b2-4ac
Δ = -82-4·16·(-10)
Δ = 704
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:

$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8\sqrt{11}}{2*16}=\frac{8-8\sqrt{11}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8\sqrt{11}}{2*16}=\frac{8+8\sqrt{11}}{32}
$