Does anyone know? Rational Equation

[Lozaba]

Does anyone know what this process is called?

 

[Dr.Peterson]

View attachment 23189

Does anyone know what this process is called?

The process is called "solving".

But the last step is written wrongly; you should be dividing by -4, not by -4x, because the goal is to leave x by itself.

 

[Steven G]

[math]\frac{8}{-4x}\neq -2, \frac{8}{-4x} = \frac{-2}{x}. \frac{-4x}{-4x}\neq x, \frac{-4x}{-4x}=1[/math]. You know that when you divide the same two expressions that you get 1, not x.

I would call the process solving a linear equation.

 

[HallsofIvy]

"Algebra"?