What is the solution set of 7x^2 + 3x = 0?

A. {0, 3/7}

B. {0, - 3/7}

C. {0, - 4/7}

7x² + 3x = 0

x (7x + 3) = 0 ⇔ x = 0 or 7x + 3 = 0 |subtract 3 from both sides

x = 0 or 7x = - 3 |divide both sides by 7

x = 0 or x = - 3/7

Answer: B. {0; - 3/7}

To solve the solution set of the problem, we can factor the expression given into x * (7x + 3) = 0. This dissects the equation into two parts:

x = 0

and

7x + 3 = 0x = - 3/7

Hence the answer to this problem must be B. {0, - 3/7}