3b(5b+4)=0

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Solution for 3b(5b+4)=0 equation:



3b(5b+4)=0
We multiply parentheses
15b^2+12b=0
a = 15; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·15·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*15}=\frac{-24}{30} =-4/5 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*15}=\frac{0}{30} =0 $

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