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.
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.
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