5w^2=-30w

To solve the equation 5w^2 = -30w, we first need to move all terms to one side of the equation to set it equal to zero:

5w^2 + 30w = 0

Next, we factor out a common factor of 5w from the left side of the equation:

5w(w + 6) = 0

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

5w = 0
w = 0

w + 6 = 0
w = -6

Therefore, the solutions to the equation 5w^2 = -30w are w = 0 and w = -6.