24a^2-4a=0

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Solution for 24a^2-4a=0 equation:



24a^2-4a=0
a = 24; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·24·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*24}=\frac{0}{48} =0 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*24}=\frac{8}{48} =1/6 $

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