3x+4=3x^2

Solution for 3x+4=3x^2 equation:

3x+4=3x^2

We move all terms to the left:

3x+4-(3x^2)=0

determiningTheFunctionDomain
-3x^2+3x+4=0

a = -3; b = 3; c = +4;
Δ = b2-4ac
Δ = 32-4·(-3)·4
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{57}}{2*-3}=\frac{-3-\sqrt{57}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{57}}{2*-3}=\frac{-3+\sqrt{57}}{-6}
$