(8x)(X+27)=x

Solution for (8x)(X+27)=x equation:

(8x)(x+27)=x

We move all terms to the left:

(8x)(x+27)-(x)=0

We add all the numbers together, and all the variables

-1x+8x(x+27)=0

We multiply parentheses

8x^2-1x+216x=0

We add all the numbers together, and all the variables

8x^2+215x=0

a = 8; b = 215; c = 0;
Δ = b2-4ac
Δ = 2152-4·8·0
Δ = 46225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46225}=215$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(215)-215}{2*8}=\frac{-430}{16}
=-26+7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(215)+215}{2*8}=\frac{0}{16}
=0
$