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Solve for uu. \newline40u2+3u=040u^2 + 3u = 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. \newline40u2+3u=040u^2 + 3u = 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: Factor out the greatest common factor (GCF) from the equation 40u2+3u=040u^2 + 3u = 0. The GCF of 40u240u^2 and 3u3u is uu. Factor out uu from each term. u(40u+3)=0u(40u + 3) = 0
  2. Set Equal to Zero: Set each factor equal to zero and solve for uu. First, set uu equal to zero: u=0u = 0 This is one solution. Next, set the other factor equal to zero: 40u+3=040u + 3 = 0
  3. Solve for u: Solve the equation 40u+3=040u + 3 = 0 for uu.\newlineSubtract 33 from both sides of the equation to isolate the term with uu.\newline40u+3−3=0−340u + 3 - 3 = 0 - 3\newline40u=−340u = -3\newlineDivide both sides by 4040 to solve for uu.\newlineu=−340u = -\frac{3}{40}

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