Question

Consider the following quadratic equation:

9x2+21x=0
Step 2 of 2 : Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.

Answer 1

To solve the quadratic equation by factoring, we want to rewrite the equation in the form of (x - a)(x - b) = 0, where a and b are the roots of the equation.

To do this, we first factor out the common factor of 3x:

3x(3x + 7) = 0

Now, we set each factor equal to zero and solve for x:

3x = 0 or 3x + 7 = 0

For the first equation, dividing both sides by 3 gives us:

x = 0

For the second equation, we subtract 7 from both sides:

3x = -7

Dividing both sides by 3 gives us:

x = -7/3

So the solutions to the quadratic equation 9x^2 + 21x = 0 are x = 0 and x = -7/3.