6w^2-3w-2=0

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Solution for 6w^2-3w-2=0 equation: 



6w^2-3w-2=0

a = 6; b = -3; c = -2;
Δ = b2-4ac
Δ = -32-4·6·(-2)
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{57}}{2*6}=\frac{3-\sqrt{57}}{12}
$


$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{57}}{2*6}=\frac{3+\sqrt{57}}{12}
$

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