10w2+6w=0

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Solution for 10w2+6w=0 equation:



10w^2+6w=0
a = 10; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·10·0
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*10}=\frac{-12}{20} =-3/5 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*10}=\frac{0}{20} =0 $

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