Answer:
[tex]x=1,1[/tex]
Step-by-step explanation:
[tex]3x^2 - 4= 6x - 7[/tex]
For the given equation :
Making the coefficients of x to L.H.S
[tex]3x^2-6x-4+7[/tex] [tex]=0\\[/tex]
[tex]3x^2-6x+3=0[/tex]
Taking 3 as common from the above equation
[tex]x^2-2x+1=0[/tex]
Splitting the equation to make factors
[tex]x^2-x-x+1=0[/tex]
Taking common from the equation:
[tex]x(x-1)-1(x-1)\\(x-1)(x-1)=0[/tex]
Equating 'x' to zero
[tex]x=1,1[/tex]