4p(5p+3)=0

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



4p(5p+3)=0
We multiply parentheses
20p^2+12p=0
a = 20; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·20·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*20}=\frac{-24}{40} =-3/5 $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*20}=\frac{0}{40} =0 $

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