Question

How do I answer this using the square root method? -9(3x-2)^2=-225

Answer 1

$\bf -9(3x-2)^2=-225\implies (3x-2)^2=\cfrac{-225}{-9}\implies (3x-2)^2=\cfrac{225}{9} \\\\\\ 3x-2=\sqrt{\cfrac{225}{9}}\implies 3x-2=\cfrac{\sqrt{225}}{\sqrt{9}}\implies 3x-2=\cfrac{15}{3} \\\\\\ 3x=\cfrac{15}{3}+2\implies 3x=\cfrac{21}{3}\implies x=\cfrac{21}{9}$