Find the exact solutions and simplify as much as possible 6x

Find the exact solutions and simplify as much as possible: 6x^2 + 3 = 10x. Show work.

Given that

6x² + 3 = 10x

6x² - 10x + 3 = 0...........................1

If the equation is in the form of quadratic equation ax²+ bx + c = 0 then the solution is ,

x = [ -b ± (b² - 4ac) ]/2a

From equation 1

a = 6 , b = -10 , c = 3

x = [ -(-10) ± ((-10)² - 4.6.3) ]/2.6

= [ 10 ± (100 - 72 ) ]/12

= [10 ± 28 ]/12

= [10 ± 27 ]12

= [ 5 ± 7 ]/6

Hence ,

The solutions are , x = [ 5 + 7 ]/6 , [ 5 - 7 ]/6