3000x^2+5000x=8784,7

Solution for 3000x^2+5000x=8784,7 equation:

3000x^2+5000x=8784.7

We move all terms to the left:

3000x^2+5000x-(8784.7)=0

We add all the numbers together, and all the variables

3000x^2+5000x-8784.7=0

a = 3000; b = 5000; c = -8784.7;
Δ = b2-4ac
Δ = 50002-4·3000·(-8784.7)
Δ = 130416400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{130416400}=11420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5000)-11420}{2*3000}=\frac{-16420}{6000}
=-2+221/300
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5000)+11420}{2*3000}=\frac{6420}{6000}
=1+7/100
$