20z^2+4z=0

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Solution for 20z^2+4z=0 equation: 



20z^2+4z=0

a = 20; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·20·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*20}=\frac{-8}{40}
=-1/5
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*20}=\frac{0}{40}
=0
$

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