Question

5(x-5)=0 take out a common factor then solve for x

Answer 1

First, we will factor out the common factor of 5:

5(x - 5) = 5 * (x - 5)

Now we can set the expression equal to zero:

5 * (x - 5) = 0

Next, we will use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, one of the factors is 5:

5 = 0 or (x - 5) = 0

Since 5 cannot equal zero, we can ignore the first equation. Therefore, we can solve for x by setting the second factor equal to zero and solving for x:

x - 5 = 0

Adding 5 to both sides:

x = 5

So the solution to the equation 5(x - 5) = 0 is x = 5.