x=8.5x2

Solution for x=8.5x2 equation:

x=8.5x^2

We move all terms to the left:

x-(8.5x^2)=0

We get rid of parentheses

-8.5x^2+x=0

a = -8.5; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-8.5)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-8.5}=\frac{-2}{-17}
=2/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-8.5}=\frac{0}{-17}
=0
$