15w^2+6w=0

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Solution for 15w^2+6w=0 equation:



15w^2+6w=0
a = 15; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·15·0
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{-(6)-6}{2*15}=\frac{-12}{30} =-2/5 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*15}=\frac{0}{30} =0 $

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