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2a(2a+a)=360
We move all terms to the left:
2a(2a+a)-(360)=0
We add all the numbers together, and all the variables
2a(+3a)-360=0
We multiply parentheses
6a^2-360=0
a = 6; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·6·(-360)
Δ = 8640
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}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8640}=\sqrt{576*15}=\sqrt{576}*\sqrt{15}=24\sqrt{15}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{15}}{2*6}=\frac{0-24\sqrt{15}}{12} =-\frac{24\sqrt{15}}{12} =-2\sqrt{15} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{15}}{2*6}=\frac{0+24\sqrt{15}}{12} =\frac{24\sqrt{15}}{12} =2\sqrt{15} $
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