Question

solve. (2 + y)(2y + 1)=0 (if there is more than one solution, separate them with com y = )

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then either \(a=0\) or \(b = 0\). Here \(a=(2 + y)\) and \(b=(2y + 1)\). So we set up two equations: \(2 + y=0\) and \(2y+1 = 0\).

Step2: Solve the first equation

For \(2 + y=0\), subtract 2 from both sides. We get \(y=-2\).

Step3: Solve the second equation

For \(2y + 1=0\), first subtract 1 from both sides: \(2y=-1\). Then divide both sides by 2, we get \(y=-\frac{1}{2}\).

Answer:

\(y=-2,-\frac{1}{2}\)