Question

What are the solutions for the equation 3(5x-1)^2=27

Answer 1

See, pls, the suggested explanation:
3(5x-1)²=27 ⇔ 75x²-30x-24=0 ⇔ 25x²-10x-8=0 ⇒

`\left[\begin{array}{ccc}x= (5-15)/(25) \\x= (5+15)/(25) \end{array}\right \ =\ \textgreater \ \ \left[\begin{array}{ccc}x=- (2)/(5) \\\ x= (4)/(5) \end{array}\right`