3=-45w^2-24w

Solution for 3=-45w^2-24w equation:

3=-45w^2-24w

We move all terms to the left:

3-(-45w^2-24w)=0

We get rid of parentheses

45w^2+24w+3=0

a = 45; b = 24; c = +3;
Δ = b2-4ac
Δ = 242-4·45·3
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-6}{2*45}=\frac{-30}{90}
=-1/3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+6}{2*45}=\frac{-18}{90}
=-1/5
$