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.
5w^2=-30w
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