3x+3x2=5000

Solution for 3x+3x2=5000 equation:

3x+3x^2=5000

We move all terms to the left:

3x+3x^2-(5000)=0

a = 3; b = 3; c = -5000;
Δ = b2-4ac
Δ = 32-4·3·(-5000)
Δ = 60009
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{60009}}{2*3}=\frac{-3-\sqrt{60009}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{60009}}{2*3}=\frac{-3+\sqrt{60009}}{6}
$