6a=14a2

Solution for 6a=14a2 equation:

6a=14a^2

We move all terms to the left:

6a-(14a^2)=0

determiningTheFunctionDomain
-14a^2+6a=0

a = -14; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-14)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-14}=\frac{-12}{-28}
=3/7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-14}=\frac{0}{-28}
=0
$