6x+2=8x^2

Solution for 6x+2=8x^2 equation:

6x+2=8x^2

We move all terms to the left:

6x+2-(8x^2)=0

determiningTheFunctionDomain
-8x^2+6x+2=0

a = -8; b = 6; c = +2;
Δ = b2-4ac
Δ = 62-4·(-8)·2
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-10}{2*-8}=\frac{-16}{-16}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+10}{2*-8}=\frac{4}{-16}
=-1/4
$