Question

(5x-3)^2-10x-6=0

Answer 1

\(\left(5x-3\right)^2-2\left(5x-3\right)=0\)

\(\left(5x-3\right)\left(5x-5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{5}\\x=1\end{matrix}\right.\)

Answer 2

`(5x - 3)^2 - 10x - 6 = 0`

`<=> (5x - 3)(5x - 3) - 10x - 6 = 0`

`<=> 5x(5x - 3) - 3(5x - 3) - 10x - 6 = 0`

`<=> 25x^2 - 15x - 3(5x - 3) - 10x - 6 = 0`

`<=> x = (4 +- \sqrt{13})/(5)`