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Solve for ww.\newline3w2−4w=03w^2 - 4w = 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.\newline3w2−4w=03w^2 - 4w = 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: Factor out the greatest common factor (GCF) from the equation 3w2−4w=03w^2 - 4w = 0. The GCF of 3w23w^2 and −4w-4w is ww. Factor out ww from each term. w(3w−4)=0w(3w - 4) = 0
  2. Set Equal Zero: Set each factor equal to zero and solve for ww.\newlineFirst, set ww equal to zero:\newlinew=0w = 0\newlineThis is our first solution.
  3. Solve for w: Now set the other factor equal to zero:\newline3w−4=03w - 4 = 0\newlineSolve for w by adding 44 to both sides of the equation:\newline3w=43w = 4\newlineNow divide both sides by 33 to isolate w:\newlinew=43w = \frac{4}{3}\newlineThis is our second solution.

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