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Solve for uu. \newline48u2−7u=048u^2 - 7u = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineu=___u = \_\_\_

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Solve a quadratic equation by factoringright chevron icon

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Q. Solve for uu. \newline48u2−7u=048u^2 - 7u = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineu=___u = \_\_\_
  1. Factor GCF of terms: Factor out the greatest common factor (GCF) of the terms in the equation 48u2−7u=048u^2 - 7u = 0. The GCF of 48u248u^2 and 7u7u is uu. Factor out the GCF from each term. u(48u−7)=0u(48u - 7) = 0
  2. Set and solve for u: Set each factor equal to zero and solve for u.\newlineFirst, set uu equal to zero:\newlineu=0u = 0\newlineThis is one solution.\newlineNext, set the other factor equal to zero:\newline48u−7=048u - 7 = 0
  3. Solve 48u−7=048u - 7 = 0: Solve the equation 48u−7=048u - 7 = 0 for uu. Add 77 to both sides of the equation to isolate the term with uu. 48u=748u = 7 Now, divide both sides by 4848 to solve for uu. u=748u = \frac{7}{48} This is the second solution.

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