Solve the quadratic equation 84x2+16x=0

The GCF (Greatest Common Factor) of the given quadratic equation is 4x. Factoring out the GCF, we get:

4x(21x + 4) = 0

Setting each factor equal to zero, we have:

4x = 0 or 21x + 4 = 0

Solving for x in each equation, we find:

x = 0 or 21x = -4
x = -4/21

Therefore, the solutions to the quadratic equation 84x^2 + 16x = 0 are x = 0 and x = -4/21.