4z2+23z=0

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Solution for 4z2+23z=0 equation: 



4z^2+23z=0

a = 4; b = 23; c = 0;
Δ = b2-4ac
Δ = 232-4·4·0
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-23}{2*4}=\frac{-46}{8}
=-5+3/4
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+23}{2*4}=\frac{0}{8}
=0
$

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