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Solve for ww.\newline22w2−35w=022w^2 - 35w = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinew=w = ____

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Solve a quadratic equation by factoringright chevron icon

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Q. Solve for ww.\newline22w2−35w=022w^2 - 35w = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinew=w = ____
  1. Factor GCF and Rewrite: Factor out the greatest common factor (GCF) of the terms in the equation 22w2−35w=022w^2 - 35w = 0. The GCF of 22w222w^2 and 35w35w is ww. Factor out ww from each term. w(22w−35)=0w(22w - 35) = 0
  2. Apply Zero-Product Property: Apply the zero-product property.\newlineFor the product of factors to be zero, at least one of the factors must be zero.\newlineSet each factor equal to zero and solve for ww.\newlinew=0w = 0\newline22w−35=022w - 35 = 0
  3. Solve for w: Solve the equation 22w−35=022w - 35 = 0 for ww.\newlineAdd 3535 to both sides of the equation to isolate the term with ww.\newline22w=3522w = 35\newlineDivide both sides by 2222 to solve for ww.\newlinew=3522w = \frac{35}{22}\newlineSimplify the fraction.\newlinew=3522w = \frac{35}{22}
  4. Write Solutions: Write the values of ww. We have found two solutions where the equation will be true: w=0w = 0 or w=3522w = \frac{35}{22}. w=0,3522w = 0, \frac{35}{22}

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