Solve the quadratic equation 84x2+16x=0 by factoring out the GCF.
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To solve the quadratic equation 84x^2 + 16x = 0 by factoring out the GCF, we will first find the greatest common factor (GCF) of the equation, which is 4x.
So, factoring out the GCF, we get:
4x(21x + 4) = 0
Now, we can set each factor equal to zero:
4x = 0 OR 21x + 4 = 0
Solving the first equation, we get x = 0.
Solving the second equation, we have:
21x + 4 = 0
Subtracting 4 from both sides:
21x = -4
Dividing by 21:
x = -4/21
So, the solutions to the quadratic equation 84x^2 + 16x = 0 are x = 0 and x = -4/21.