Question

solve. 3(y + 2)(-y - 6) = 0 (if there is more than one solution, separate them with commas.) y = \boxed{}

Explanation:

Step1: Use zero - product property

The equation is \(3(y + 2)(-y-6)=0\). Since the product of several factors is zero, then at least one of the factors is zero. We can ignore the non - zero factor 3 first, so we have two cases: \(y + 2=0\) or \(-y - 6=0\).

Step2: Solve \(y + 2=0\)

Subtract 2 from both sides of the equation \(y+2 = 0\), we get \(y=-2\).

Step3: Solve \(-y - 6=0\)

Add 6 to both sides of the equation \(-y-6 = 0\), we have \(-y=6\). Multiply both sides by - 1, we get \(y=-6\).

Answer:

\(y=-2,-6\)