20=a+3a+3a(2)

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Solution for 20=a+3a+3a(2) equation:



20=a+3a+3a(2)
We move all terms to the left:
20-(a+3a+3a(2))=0
We add all the numbers together, and all the variables
-(+4a+3a^2)+20=0
We get rid of parentheses
-3a^2-4a+20=0
a = -3; b = -4; c = +20;
Δ = b2-4ac
Δ = -42-4·(-3)·20
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*-3}=\frac{-12}{-6} =+2 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*-3}=\frac{20}{-6} =-3+1/3 $

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