Solve the equation.left parenthesis x minus 5 right parenthesis left parenthesis x minus 6 right parenthesis equals 0Question content area bottomPart 1The solution set is StartSet nothing EndSet.​(Type integers or fractions. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \((x - 5)(x - 6) = 0\), we can 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.

Therefore, we can set each factor equal to zero:

1. \(x - 5 = 0\)
2. \(x - 6 = 0\)

Now, let's solve each equation:

1. For \(x - 5 = 0\): \[ x = 5 \]

2. For \(x - 6 = 0\): \[ x = 6 \]

Thus, the solution set is \({5, 6}\).

If you are asked to input the results, you would write: \[ 5, 6 \]