Question

(2x+1)(1-2x)+(2x-1)^2=22

Answer 1

 \(\Leftrightarrow\left(2x-1\right)\left(-2x-1+2x-1\right)=22\)

\(\Leftrightarrow2x-1=-11\)

\(\Leftrightarrow x=-5\)

Answer 2

\(\left(1+2x\right)\left(1-2x\right)+\left(2x-1\right)^2=22\)

\(\Leftrightarrow1-4x^2+4x^2-4x+1=22\)

hay x=-5

Answer 3

\(\left(2x+1\right)\left(1-2x\right)+\left(2x-1\right)^2=22\)

\(\Leftrightarrow1-\left(2x\right)^2+\left(2x\right)^2-2.2x.1+1^2=22\)

\(\Leftrightarrow4x^2-4x^2-4x=22-1-1\)

\(\Leftrightarrow-4x=20\Leftrightarrow x=20:\left(-4\right)\Leftrightarrow x=-5\)