How to solve 4x^2-12x=7

Question

How to solve algebraically 

Answer 1

4x^2-12x=7

4x^2-12x-7=0

4*7=2*2*7=2*(2*7)=2*14 and 14-2=12, the coefficient of the middle term

(2x    )(2x    )=0 so far...

(2x    1)(2x  7)=0 so far...

(2x+1)(2x-7)=0

2x+1=0

2x=-1

x=-1/2

2x-7=0

2x=7

x=7/2