3=4a2-3a

Solution for 3=4a2-3a equation:

3=4a^2-3a

We move all terms to the left:

3-(4a^2-3a)=0

We get rid of parentheses

-4a^2+3a+3=0

a = -4; b = 3; c = +3;
Δ = b2-4ac
Δ = 32-4·(-4)·3
Δ = 57
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{-(3)-\sqrt{57}}{2*-4}=\frac{-3-\sqrt{57}}{-8}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{57}}{2*-4}=\frac{-3+\sqrt{57}}{-8}
$