Question

What are the solutions to the quadratic equation 6x^2 + 24X = 0?

Answer 1

Answer: {0, -4}

Step-by-step explanation: Notice that the two terms on the left side

of the equation have a greatest common factor of 6x.

So start by factoring out a 6x to get 6x(x + 4) = 0.

So either 6x = 0 or x + 4 = 0.

Eventually we find that x = 0 or x = -4.

So our solution set is {0, -4}.