3х^2+4х=0

To solve the equation 3x^2 + 4x = 0, you can factor out the common factor "x":

x(3x + 4) = 0

Now, you have two factors, x and (3x + 4), which multiply to give zero. Thus, either x = 0 or 3x + 4 = 0.

Solving for x in the second equation:

3x + 4 = 0 3x = -4 x = -4/3

Therefore, the solutions to the equation 3x^2 + 4x = 0 are x = 0 and x = -4/3.