Question

Answer 1

a) \(\Leftrightarrow2x+6+x-1=8\\ \Leftrightarrow3x=3\\ \Leftrightarrow x=1\)

b) \(\Leftrightarrow x^2+2x+1-x^2+x=10\\ \Leftrightarrow3x=9\\ \Leftrightarrow x=3\)

c) \(\Leftrightarrow\left(x-5\right)\left(2x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{1}{2}\end{matrix}\right.\)

d) \(\Leftrightarrow\left(2x+1-x-1\right)\left(2x+1+x+1\right)=0\\ \Leftrightarrow x\left(3x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{2}{3}\end{matrix}\right.\)