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Solve for ww.\newline(w+5)(w−9)=0(w + 5)(w - 9) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinew=w = _____ or w=w = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for ww.\newline(w+5)(w−9)=0(w + 5)(w - 9) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinew=w = _____ or w=w = _____
  1. Identify Property: Identify the property to use in solving the given equation.\newlineProperty: Zero product property
  2. Solve First Factor: Set the first factor equal to zero and solve for ww.(w+5)=0(w + 5) = 0Subtract 55 from both sides.w+5−5=0−5w + 5 - 5 = 0 - 5w=−5w = -5
  3. Solve Second Factor: Set the second factor equal to zero and solve for ww.(w−9)=0(w − 9) = 0Add 99 to both sides.w−9+9=0+9w - 9 + 9 = 0 + 9w=9w = 9
  4. Combine Results: Combine the results from the two factors to find the values of ww.\newlinew+5=0w + 5 = 0 implies w=−5w = -5.\newlinew−9=0w − 9 = 0 implies w=9w = 9.\newlineValues of ww: −5-5, 99

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