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Solve for yy.\newliney(y+2)=0y(y + 2) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newliney=y = _____ or y=y = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for yy.\newliney(y+2)=0y(y + 2) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newliney=y = _____ or y=y = _____
  1. Apply Zero Product Property: Apply the zero product property to the equation y(y+2)=0y(y + 2) = 0.\newlineThe zero product property 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 separately.\newliney=0y = 0 or y+2=0y + 2 = 0
  2. Solve for y=0y = 0: Solve the first equation for yy.y=0y = 0This gives us the first solution.
  3. Solve for y=−2y = -2: Solve the second equation for yy.y+2=0y + 2 = 0Subtract 22 from both sides to isolate yy.y=−2y = -2This gives us the second solution.

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