X^2 + 18x + 50 = 9

Solve by completing the square

Step 1: both sides subtract 50: x²+18x=-41

step 2: both sides add (1/2 of 18) ², which is 81: x²+18x+81=-41+81

step 3: make the square: (x+9) ²=40

step 4: square root both sides: x+9=√40 or x+9=-√40

simplify: x=-9+2√10 or x=-9-2√10