X=10x2-2

Solution for X=10x2-2 equation:

X=10X^2-2

We move all terms to the left:

X-(10X^2-2)=0

We get rid of parentheses

-10X^2+X+2=0

a = -10; b = 1; c = +2;
Δ = b2-4ac
Δ = 12-4·(-10)·2
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-9}{2*-10}=\frac{-10}{-20}
=1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+9}{2*-10}=\frac{8}{-20}
=-2/5
$