The correct answer is (B).
Getting to the Answer: There is a common factor of 2 in all of the terms, so divide them all by that factor: 2x2⁄2 + 6x⁄2 = 36⁄2. This simplifies to x2+3x=18. Subtract 18 from both sides to get x2+3x-18=0. Using reverse FOIL, find two factors of -18 that sum to 3. These are 6 and -3, so the equation factors to (x+6)(x-3)=0. The values that make the factors equal to 0 are -6 and 3.
(A) Incorrect: these are the solutions to x2+9x-36=0
(B) Correct: this matches the correct calculation