27x^2-4x=0

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Solution for 27x^2-4x=0 equation: 



27x^2-4x=0

a = 27; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·27·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*27}=\frac{0}{54}
=0
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*27}=\frac{8}{54}
=4/27
$

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