A=12(b1+b2)

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Solution for A=12(b1+b2) equation:



=12(A1+A2)
We move all terms to the left:
-(12(A1+A2))=0
We add all the numbers together, and all the variables
-(12(+A+A^2))=0
We calculate terms in parentheses: -(12(+A+A^2)), so:
12(+A+A^2)
We multiply parentheses
12A^2+12A
Back to the equation:
-(12A^2+12A)
We get rid of parentheses
-12A^2-12A=0
a = -12; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·(-12)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*-12}=\frac{0}{-24} =0 $
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*-12}=\frac{24}{-24} =-1 $

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