How do you solve 2r^2+2r=0

2 r (r+1) = 0

r = 0 or r = -1

I my gosh. I knew how to do that it was just that I was thinking too much into the problem. Thanks a bunch.

To solve the equation 2r^2 + 2r = 0, you can use factoring. Here's how:

Step 1: First, notice that both terms in the equation have a common factor of 2r. So, we can factor it out:

2r(r + 1) = 0

Step 2: Now, apply the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

Setting each factor equal to zero, we have:

2r = 0 or r + 1 = 0

Step 3: Solve for r in each equation:

For 2r = 0, divide both sides by 2:

r = 0

For r + 1 = 0, subtract 1 from both sides:

r = -1

Step 4: The solutions to the equation 2r^2 + 2r = 0 are r = 0 and r = -1.

Note: It's always a good idea to check your solutions by substituting them back into the original equation. In this case, when you substitute r = 0 and r = -1 into the equation 2r^2 + 2r = 0, you will find that the equation holds true in both cases.