3w^2-9w=3670

Solution for 3w^2-9w=3670 equation:

3w^2-9w=3670

We move all terms to the left:

3w^2-9w-(3670)=0

a = 3; b = -9; c = -3670;
Δ = b2-4ac
Δ = -92-4·3·(-3670)
Δ = 44121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{44121}}{2*3}=\frac{9-\sqrt{44121}}{6}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{44121}}{2*3}=\frac{9+\sqrt{44121}}{6}
$