I'm not sure how to use the quadratic equation, and I need to solve: 7.44 = 2x/1-x. Thank you super much.

I have the answer (x=0.79), but that doesn't really do me any good if I can't figure out how to do this step-by-step. Any expertise would help.

I'll assume it's (1-x) with parenthesis
you don't need the quadratic equation for this problem
multiply (1-x) to both sides to get 7.44(1-x) = 2x simplified to 7.44 - 7.44x = 2x
add 7.44x to both sides to get 7.44=9.44x
divide 9.44 from both sides to get x=0.79

Well this does not need the quadratic equation.

All you do is solve for x.

multiply both sides by 1-x

7.44 (1-x) = 2x
7.44 - 7.44x = 2x

Add 7.44x to both sides:

7.44 = 2x+7.44x

Factor out an x:

7.44 = x (2+7.44)

Divide both sides by: (2+7.44)

7.44/ (2+7.44) = x

7.44 / 9.44 = x

The given equation IS NOT A QUADRATIC EQUATION at all.
7.44 = 2x / (1-x) [ Multiply both sides by (1 - x) ]
=>7.44(1 - x) = 2x
=> 7.44 - 7.44x = 2x
=> 7.44 = 2x + 7.44x = 9.44x
=> x = (7.44)/(9.44) = 0.788

Given: 7.44 = 2x/1 - x
Multiplication Property of Equality: 7.44 - 7.44x = 2x
Addition Property of Equality: 7.44 = 9.44x
Division Property of Equality: x = .78813

7.44 = 2X/ 1- X
OR 744 (1- x )= 200x
or 744 - 744 x- 200x =0
or 944x = 744
or x = 744/944
=0.7881 answer