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-2a/a=-2a
We move all terms to the left:
-2a/a-(-2a)=0
Domain of the equation: a!=0We get rid of parentheses
a∈R
-2a/a+2a=0
We multiply all the terms by the denominator
-2a+2a*a=0
Wy multiply elements
2a^2-2a=0
a = 2; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·2·0
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$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*2}=\frac{0}{4} =0 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*2}=\frac{4}{4} =1 $
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