What is the solution to this equation 3d^2 + 12d = 0?

To solve the equation 3d² + 12d = 0, we can start by factoring out the common term.

We notice that both terms on the left side of the equation include a factor of d. Thus, we can factor the equation as follows:

3d(d + 4) = 0

Now, we set each factor equal to zero:

• 3d = 0
• d + 4 = 0

From the first factor, we can solve for d:

d = 0

From the second factor, we solve:

d = -4

Therefore, the solutions to the equation 3d² + 12d = 0 are:

• d = 0
• d = -4

This means that the values of d that satisfy the original equation are 0 and -4.