Solve the equation Squareroot2b 27 6b Separate your answers

Solve the equation. Squareroot2b +27 -6-b (Separate your answers with commas) The solution set is with commas

Solution

given sqrt(2b+27)- 6 = b

sqrt(2b+27) = b+6

squaring on both sides

2b+27 = b²+36 +12b

b²+10b+9 =0

(b+1)(b+9) = 0

b+1=0, b+9=0

b =-1, b=-9

b ={-1,-9)