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Solve for kk.\newline(k+2)(k+8)=0(k + 2)(k + 8) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinek=k = _____ or k=k = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for kk.\newline(k+2)(k+8)=0(k + 2)(k + 8) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinek=k = _____ or k=k = _____
  1. Given Equation: We are given the equation (k+2)(k+8)=0(k + 2)(k + 8) = 0. To find the values of kk, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
  2. Zero Product Property: Applying the zero product property, we set each factor equal to zero:\newlinek+2=0k + 2 = 0 or k+8=0k + 8 = 0
  3. Solving for k: Solving the first equation for k gives us:\newlinek+2=0k + 2 = 0\newlinek=−2k = -2
  4. Solving for k: Solving the second equation for k gives us:\newlinek+8=0k + 8 = 0\newlinek=−8k = -8

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