0,5x^2-3x=0

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Solution for 0,5x^2-3x=0 equation: 



0.5x^2-3x=0

a = 0.5; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·0.5·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*0.5}=\frac{0}{1}
=0
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*0.5}=\frac{6}{1}
=6
$

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