12a^2-6=7a

Solution for 12a^2-6=7a equation:

12a^2-6=7a

We move all terms to the left:

12a^2-6-(7a)=0

a = 12; b = -7; c = -6;
Δ = b2-4ac
Δ = -72-4·12·(-6)
Δ = 337
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{337}}{2*12}=\frac{7-\sqrt{337}}{24}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{337}}{2*12}=\frac{7+\sqrt{337}}{24}
$