6a=14a^2/3

Solution for 6a=14a^2/3 equation:

6a=14a^2/3

We move all terms to the left:

6a-(14a^2/3)=0

We get rid of parentheses

-14a^2/3+6a=0

We multiply all the terms by the denominator


-14a^2+6a*3=0

Wy multiply elements

-14a^2+18a=0

a = -14; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-14)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-14}=\frac{-36}{-28}
=1+2/7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-14}=\frac{0}{-28}
=0
$