Use factoring to solve the ofllowing quadratic x7x 2 2x2

Use factoring to solve the ofllowing quadratic x(7x + 2) = 2x^2 - 7x+ 18 The solution set is (Type an integer or a simplified fraction. Use a

Solution

given equation is

x(7x+2) = 2x^2 -7x +18

7x^2 + 2x = 2x^2 -7x +18

7x^2 -2x^2 +2x +7x -18=0

5x^2 +9x -18 =0

5x^2 +15x -6x -18=0

5x(x+3) -6(x+3) =0

(x+3) (5x -6) =0

so (x+3) = 0 or (5x -6) =0

     x =-3    , x =6/5

solution set {6/5 , 3}