9z^2+36z=0

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Solution for 9z^2+36z=0 equation: 



9z^2+36z=0

a = 9; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·9·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*9}=\frac{-72}{18}
=-4
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*9}=\frac{0}{18}
=0
$

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