Questions: Quadratic, Rational, and Radical Equations Solving an equation written in factored form Solve. (y+3)(y+2)=0 (If there is more than one solution, separate them with commas.) y=

Solution Steps

To solve the equation \((y+3)(y+2)=0\), we can use the zero-product property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for \(y\).

To solve the equation \((y + 3)(y + 2) = 0\), we apply the zero-product property. This gives us two equations to solve:

1. \(y + 3 = 0\)
2. \(y + 2 = 0\)

Solving the first equation: \[ y + 3 = 0 \implies y = -3 \]

Solving the second equation: \[ y + 2 = 0 \implies y = -2 \]

Final Answer