-3x^2-47x=3x

Solution for -3x^2-47x=3x equation:

-3x^2-47x=3x

We move all terms to the left:

-3x^2-47x-(3x)=0

We add all the numbers together, and all the variables

-3x^2-50x=0

a = -3; b = -50; c = 0;
Δ = b2-4ac
Δ = -502-4·(-3)·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-50}{2*-3}=\frac{0}{-6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+50}{2*-3}=\frac{100}{-6}
=-16+2/3
$