Question

Answer 1

a) \(\Leftrightarrow3x+3+5x=0\\ \Leftrightarrow8x=-3\\ \Leftrightarrow x=-\dfrac{3}{8}\)

b) \(\Leftrightarrow x\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\)

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

d) \(\Leftrightarrow\left(x^2-2x\right)-\left(5x-10\right)=0\\ \Leftrightarrow x\left(x-2\right)-5\left(x-2\right)=0\\ \Leftrightarrow\left(x-2\right)\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)