Solve the quadratic equation 84x2+16x=0 by factoring out the GCF.(1 point) Responses
The solutions are x=−4 and x=−421 .
The solutions are x=0 and x=4 .
The solutions are x=0 and x=421 .
The solutions are x=−421 and x=0 .
again with the weird way of writing fractions!
84x2+16x = 4x(21x+4)
so the roots are x=0 and x = -4/21
Apologies for the confusion. You are correct, the factored form of the equation is 4x(21x+4). Therefore, the solutions are x = 0 and x = -4/21.
To solve the quadratic equation 84x^2 + 16x = 0 by factoring, we first need to find the greatest common factor (GCF) of the terms. In this case, both terms have a common factor of 4x. Factoring out the GCF, we get:
4x(21x + 4) = 0
Now we can set each factor equal to zero and solve for x:
4x = 0 or 21x + 4 = 0
For the first factor, 4x = 0, we simply divide both sides by 4 to isolate x:
x = 0
For the second factor, 21x + 4 = 0, we subtract 4 from both sides to isolate the term with x:
21x = -4
Next, we divide both sides by 21 to solve for x:
x = -4/21
So the solutions to the quadratic equation 84x^2 + 16x = 0 are x = 0 and x = -4/21.
Therefore, none of the options provided - x = -4 and x = -421; x = 0 and x = 4; x = 0 and x = 421; x = -421 and x = 0 - are correct.