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Solve for uu. \newline9u2+40u=09u^2 + 40u = 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 = \_\_

Full solution

Q. Solve for uu. \newline9u2+40u=09u^2 + 40u = 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 out common factor: Factor out the common factor uu.\newlineFactor out uu from 9u29u^2 and 40u40u.\newlineu(9u+40)=0u(9u + 40) = 0
  2. Set equal to zero: Set each factor equal to zero to find the values of uu.u=0u = 0 or 9u+40=09u + 40 = 0
  3. Solve for uu: Solve the equation 9u+40=09u + 40 = 0 for uu.\newlineSubtract 4040 from both sides to isolate the term with uu.\newline9u=409u = -40\newlineDivide both sides by 99 to solve for uu.\newlineu=409u = -\frac{40}{9}

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