Use the zero product property to find two solution for x(x - 15)=0. Show your thinking using words or equations. Keep it simple. No AI answers are accepted.(3 points)

Answer 1

To solve the equation \(x(x - 15) = 0\) using the zero product property, we start by understanding what the zero product property states. It says that if the product of two factors equals zero, then at least one of the factors must be zero.

In this case, we have two factors:

1. \(x\)
2. \(x - 15\)

Now we can set each factor equal to zero and solve for \(x\).

1. Setting the first factor equal to zero: \[ x = 0 \]

2. Setting the second factor equal to zero: \[ x - 15 = 0 \] Now, solving for \(x\): \[ x = 15 \]

So, the two solutions for the equation \(x(x - 15) = 0\) are:

1. \(x = 0\)
2. \(x = 15\)

In conclusion, the values of \(x\) that satisfy the equation are \(0\) and \(15\).