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Solve for aa.\newline(a+5)(a+1)=0(a + 5)(a + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinea=a = _____ or a=a = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for aa.\newline(a+5)(a+1)=0(a + 5)(a + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinea=a = _____ or a=a = _____
  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 the equation (a+5)(a+1)=0(a + 5)(a + 1) = 0 by setting each factor equal to zero.\newlineFirst, set the first factor equal to zero: (a+5)=0(a + 5) = 0.
  3. Solve for aa (Factor 11): Solve for aa by subtracting 55 from both sides of the equation (a+5)=0(a + 5) = 0.\newlinea+5−5=0−5a + 5 - 5 = 0 - 5\newlinea=−5a = -5
  4. Solve for aa (Factor 22): Now, set the second factor equal to zero: (a+1)=0(a + 1) = 0.
  5. Solve for aa (Factor 22): Now, set the second factor equal to zero: (a+1)=0(a + 1) = 0.Solve for aa by subtracting 11 from both sides of the equation (a+1)=0(a + 1) = 0.a+1−1=0−1a + 1 - 1 = 0 - 1a=−1a = -1

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