(2a+1)(a+2)=(2a-1)(2a+1)

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Solution for (2a+1)(a+2)=(2a-1)(2a+1) equation: 



(2a+1)(a+2)=(2a-1)(2a+1)

We move all terms to the left:

(2a+1)(a+2)-((2a-1)(2a+1))=0

We use the square of the difference formula

4a^2+(2a+1)(a+2)+1=0

We multiply parentheses ..

4a^2+(+2a^2+4a+a+2)+1=0

We get rid of parentheses

4a^2+2a^2+4a+a+2+1=0

We add all the numbers together, and all the variables

6a^2+5a+3=0

a = 6; b = 5; c = +3;
Δ = b2-4ac
Δ = 52-4·6·3
Δ = -47
Delta is less than zero, so there is no solution for the equation

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