18x2=12x

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Solution for 18x2=12x equation:



18x^2=12x
We move all terms to the left:
18x^2-(12x)=0
a = 18; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·18·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*18}=\frac{0}{36} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*18}=\frac{24}{36} =2/3 $

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