.
The equation in the post
- = 0
IS NOT a hyperbola equation.
This equation describes two intersecting straight lines.
You CAN NOT transform it into the standard hyperbola equation form.
--------------
On standard hyperbola equation form and related transformations see the lessons
- Standard equation of a hyperbola
- Identify elements of hyperbola given by its standard equation
- Find the standard equation of a hyperbola given by its elements
- General equation of a hyperbola
- Transform general equation of a hyperbola to the standard form by completing the square
- Identify elements of a hyperbola given by its general equation
- OVERVIEW of lessons on hyperbolas
Also, you have this free of charge online textbook in ALGEBRA-II in this site
ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic
"Conic sections: Hyperbolas. Definition, major elements and properties. Solved problems".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.