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Solve for uu. \newline15u2−41u=015u^2 - 41u = 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. \newline15u2−41u=015u^2 - 41u = 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 15u2−41u=015u^2 - 41u = 0. The GCF of 15u215u^2 and 41u41u is uu. Factor out uu from each term. u(15u−41)=0u(15u - 41) = 0
  2. Set Equal Solve: Set each factor equal to zero and solve for uu.\newlineFirst, set uu equal to zero:\newlineu=0u = 0\newlineThen, set the other factor equal to zero:\newline15u−41=015u - 41 = 0
  3. Solve Equation: Solve the equation 15u−41=015u - 41 = 0 for uu. Add 4141 to both sides of the equation to isolate the term with uu. 15u−41+41=0+4115u - 41 + 41 = 0 + 41 15u=4115u = 41 Now, divide both sides by 1515 to solve for uu. u=4115u = \frac{41}{15}
  4. Write Values: Write the values of uu. We have found two values of uu that satisfy the equation u(15u−41)=0u(15u - 41) = 0. u=0u = 0, 4115\frac{41}{15}

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