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

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for hh.\newline(h+1)(h+5)=0(h + 1)(h + 5) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineh=h = _____ or h=h = _____
  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 (h+1)(h+5)=0(h + 1)(h + 5) = 0. Set each factor equal to zero: (h+1)=0(h + 1) = 0 and (h+5)=0(h + 5) = 0.
  3. Solve First Equation: Solve the first equation (h+1)=0(h + 1) = 0.\newlineSubtract 11 from both sides to isolate hh.\newlineh+1−1=0−1h + 1 - 1 = 0 - 1\newlineh=−1h = -1
  4. Solve Second Equation: Solve the second equation (h+5)=0(h + 5) = 0. Subtract 55 from both sides to isolate hh. h+5−5=0−5h + 5 - 5 = 0 - 5 h=−5h = -5

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