9x(7x+8)=x

Solution for 9x(7x+8)=x equation:

9x(7x+8)=x

We move all terms to the left:

9x(7x+8)-(x)=0

We add all the numbers together, and all the variables

-1x+9x(7x+8)=0

We multiply parentheses

63x^2-1x+72x=0

We add all the numbers together, and all the variables

63x^2+71x=0

a = 63; b = 71; c = 0;
Δ = b2-4ac
Δ = 712-4·63·0
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5041}=71$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(71)-71}{2*63}=\frac{-142}{126}
=-1+8/63
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(71)+71}{2*63}=\frac{0}{126}
=0
$