Question

Solve for x: 4x^2-12x=7 please show steps as well (:

Answer 1

Solve for x: $4x^{2} -12x = 7$
Lets set = 0

$4 x^{2} - 12 - 7 = 0$

Now, let's solve this problem by factoring
In your problem you need those 2 factor which multiply to be 28 and add up to -12 because 4 * 7 = 28 

$4 x^{2} + 2x - 14x -7 = 0 2x ( 2x + 1 ) - 7 ( 2x + 1 ) = 0 (2x - 7 ) ( 2x + 1 ) = 0$
so now, lets set both the equations for 0.
$2x - 7 = 0$
$2x = 7 x = 7/2$

and  $2x + 1 = 0 2x = -1 x= -1/2$ 

Answer 2

I'm assuming you know binomials, trinomials, and the like. So, make the equation equal to zero.
Once you do you'll get,
4x^2 - 12x - 7 = 0.

Now, unfactor into binomials...
(2x+1) (2x-7) = 0.

Solve for both x's.
2x+1=0
2x-7=0

x= -1/2
x= 7/2

So, x is equal to -1/2 and 7/2.
Good luck!