Solve the equation by factoring and using the zero product rule

Algebra
Tutor: None Selected Time limit: 1 Day

2y^3+14y^2=-20y

Oct 14th, 2015

2y^3 + 14y^2 = - 20y

2y^3 + 14y^2 + 20y = 0

y^3 + 7y^2 + 10y = 0

y(y^2 + 7y + 10) = 0

y = 0 ,     y^2 + 7y + 10 = 0

               y^2 + 2y + 5y + 10 = 0

               y(y + 2) + 5(y + 2) = 0

               (y + 2)(y + 5) = 0

                y + 2 = 0      ,     y + 5 = 0

                 y = - 2                y = - 5

Hence the solution is  y = 0 , - 2 , - 5

Oct 14th, 2015

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