solve the quadratic equation 84x^2 + 16x = 0 by factoring out the GCF
To factor out the greatest common factor (GCF) from the quadratic equation 84x^2 + 16x = 0, we need to find the largest number that can divide both 84 and 16 evenly.
The GCF of 84 and 16 is 4.
Now, divide each term by 4:
(84x^2 + 16x) / 4 = 0
Simplifying the equation:
21x^2 + 4x = 0
Therefore, the factored form of the quadratic equation 84x^2 + 16x = 0 after factoring out the GCF is:
4x(21x + 1) = 0