4x+2=6x2

Solution for 4x+2=6x2 equation:

4x+2=6x^2

We move all terms to the left:

4x+2-(6x^2)=0

determiningTheFunctionDomain
-6x^2+4x+2=0

a = -6; b = 4; c = +2;
Δ = b2-4ac
Δ = 42-4·(-6)·2
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-8}{2*-6}=\frac{-12}{-12}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+8}{2*-6}=\frac{4}{-12}
=-1/3
$