3х^2+4х=0

To solve the equation 3x^2 + 4x = 0, we can start by factoring out x:

x(3x + 4) = 0

Now we have two factors that can multiply to give us zero. Setting each factor equal to zero, we have two possible solutions:

x = 0 (from the factor x = 0) 3x + 4 = 0 (from the factor 3x + 4 = 0)

To solve the second equation, we can subtract 4 from both sides:

3x = -4

Divide both sides by 3:

x = -4/3

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