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Solve for nn.\newline(n+6)(n+2)=0(n + 6)(n + 2) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinen=n = _____ or n=n = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for nn.\newline(n+6)(n+2)=0(n + 6)(n + 2) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinen=n = _____ or n=n = _____
  1. Identify Property: Identify the property to use in solving the given equation.\newlineProperty: Zero product property, which states that if the product of two factors is 00, then at least one of the factors must be 00.
  2. Apply Zero Product Property: Apply the zero product property to each factor.\newlineSet each factor equal to zero.\newline(n+6)=0(n + 6) = 0 and (n+2)=0(n + 2) = 0
  3. Solve for nn (n+6n + 6): Solve for nn in the equation (n+6)=0(n + 6) = 0.\newlineSubtract 66 from both sides of the equation.\newlinen+6−6=0−6n + 6 - 6 = 0 - 6\newlinen=−6n = -6
  4. Solve for nn (n+2n + 2): Solve for nn in the equation (n+2)=0(n + 2) = 0.\newlineSubtract 22 from both sides of the equation.\newlinen+2−2=0−2n + 2 - 2 = 0 - 2\newlinen=−2n = -2

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