2/49x^(_2) +14x=0?

To solve the equation 2/49x^2 + 14x = 0, we can first simplify by factoring out an x:

x(2/49x + 14) = 0

Now we can set each factor equal to zero and solve for x:

x = 0

2/49x + 14 = 0
2/49x = -14
x = -14 * 49/2
x = -343

Therefore, the solutions to the equation 2/49x^2 + 14x = 0 are x = 0 and x = -343.