Solve the following quadratic equation by factoring.

Question

Quizplus · Accepted Answer

Since the equation has all terms on one side, we can factor it by using the zero product property. First, we notice that both terms have a common factor of 11eb80b1_b08b_a2cb_a291_31d3896ed90b_TB8633_11. Factoring it out, we get:

11eb80b1_b08b_a2cb_a291_31d3896ed90b_TB8633_11(x + 11eb80b1_b08b_2b00_a291_bab44bb9db18_TB8633_11) = 0

Now we can apply the zero product property, which tells us that the product of two factors is zero if and only if at least one of the factors is zero. Therefore:

11eb80b1_b08b_a2cb_a291_31d3896ed90b_TB8633_11 = 0 or x + 11eb80b1_b08b_2b00_a291_bab44bb9db18_TB8633_11 = 0

The first equation doesn't have a real solution, but the second one does:

x = -11eb80b1_b08b_2b00_a291_bab44bb9db18_TB8633_11

Therefore, the answer is D.

Solve the Following Quadratic Equation by Factoring