Solution set of 6x2=13x+5

x = - 1/3 x = 5/2

Step-by-step explanation:

6x^2=13x+5

Subtract 13x from each side

6x^2-13x=13x-13x+5

6x^2-13x=5

Subtract 5 from each side

6x^2-13x-5=5-5

6x^2-13x-5=0

Factor

(3x+1) (2x - 5) = 0

Using the zero product property

3x+1 = 0 2x-5 = 0

3x=-1 2x = 5

x = - 1/3 x = 5/2