7a*a=2a

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Solution for 7a*a=2a equation:



7a*a=2a
We move all terms to the left:
7a*a-(2a)=0
We add all the numbers together, and all the variables
-2a+7a*a=0
Wy multiply elements
7a^2-2a=0
a = 7; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·7·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*7}=\frac{0}{14} =0 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*7}=\frac{4}{14} =2/7 $

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