30x^2+33x+9=0

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Solution for 30x^2+33x+9=0 equation: 



30x^2+33x+9=0

a = 30; b = 33; c = +9;
Δ = b2-4ac
Δ = 332-4·30·9
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-3}{2*30}=\frac{-36}{60}
=-3/5
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+3}{2*30}=\frac{-30}{60}
=-1/2
$

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