0.5x^2+6x=0

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Solution for 0.5x^2+6x=0 equation: 



0.5x^2+6x=0

a = 0.5; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·0.5·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*0.5}=\frac{-12}{1}
=-12
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*0.5}=\frac{0}{1}
=0
$

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