36z^2-6z=0

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Solution for 36z^2-6z=0 equation: 



36z^2-6z=0

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

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


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*36}=\frac{0}{72}
=0
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*36}=\frac{12}{72}
=1/6
$

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