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Solve for nn.\newline(n−6)(n−3)=0(n - 6)(n - 3) = 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−3)=0(n - 6)(n - 3) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinen=n = _____ or n=n = _____
  1. Apply Zero Product Property: Apply the zero product property to the equation (n−6)(n−3)=0(n − 6)(n − 3) = 0. The 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 set each factor equal to zero separately. n−6=0n − 6 = 0 or n−3=0n − 3 = 0
  2. Solve for n=6n = 6: Solve the first equation n−6=0n − 6 = 0 for nn.\newlineAdding 66 to both sides of the equation gives us:\newlinen=6n = 6
  3. Solve for n=3n = 3: Solve the second equation n−3=0n − 3 = 0 for nn.\newlineAdding 33 to both sides of the equation gives us:\newlinen=3n = 3

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