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Solve for zz.\newlinez(z+9)=0z(z + 9) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for zz.\newlinez(z+9)=0z(z + 9) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinez=z = _____ or z=z = _____
  1. Apply Zero Product Property: Apply the zero product property to the equation z(z+9)=0z(z + 9) = 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.\newlinez=0z = 0 or z+9=0z + 9 = 0
  2. Solve first equation: Solve the first equation for zz.z=0z = 0This gives us the first solution for zz.
  3. Solve second equation: Solve the second equation for zz.\newlinez+9=0z + 9 = 0\newlineSubtract 99 from both sides to isolate zz.\newlinez=−9z = -9\newlineThis gives us the second solution for zz.

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