6y2+18y=0

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Solution for 6y2+18y=0 equation: 



6y^2+18y=0

a = 6; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·6·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$


$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*6}=\frac{-36}{12}
=-3
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*6}=\frac{0}{12}
=0
$

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