Question

I WOULD LIKE THIS SOOVED WITH A BREAK DOWN (5x - 4)2= 36

Answer 1

$\bf (5x-4)^2=36\implies (5x-4)(5x-4)=36\impliedby using\ FOIL \\\\\\ 5^2x^2-40x+16=36\implies 25x^2-40x+16-36=0 \\\\\\ 25x^2-40x-20=0\implies 5(5x^2-8x-4)=0 \\\\\\ 5x^2-8x-4=0\implies (5x+2)(x-2)=0\implies \begin{cases} 5x+2=0\\ 5x=-2\\\\ x=\cfrac{-2}{5}\\ -----\\ x-2=0\\ x=2 \end{cases}$