## factorization and grouping: 6t^7x^9 - 8x^4t^9 = 0

Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.
marky78
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Joined: Wed Apr 06, 2016 7:52 pm
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### factorization and grouping: 6t^7x^9 - 8x^4t^9 = 0

Hi,

I have some issues with this and another equation whereby i need to simplify by factorization and grouping. i have not touched algebra for over 20 years by the way i have notes from class on how to do this equation but as the lessons were taught fast i rushed the notes and now im struggling to make head nor tail of them.

6t^7x^9 - 8x^4t^9 = 0

has anyone got any tips on how you go about dealing with the above equation? and then i can put it into action

thanks

marky78
Posts: 2
Joined: Wed Apr 06, 2016 7:52 pm
Contact:

### simplifying equations

6t^7x^9 - 8x^4t^9 = 0

i have to simplify the above equation by factorisation and grouping. my notes are rushed and hard to follow from class and now i cant make head nor tail of them
can anyone please explain the method so that i can put it into action?

thank you

buddy
Posts: 197
Joined: Sun Feb 22, 2009 10:05 pm
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### Re: simplifying equations

6t^7x^9 - 8x^4t^9 = 0

i have to simplify the above equation
"simplify" or "solve"?
can anyone please explain the method so that i can put it into action?
simple factoring: http://www.purplemath.com/modules/simpfact.htm
special factoring: http://www.purplemath.com/modules/specfact.htm

Then use the zero-product rule: If the product equals zero, then check each of the factors for equaling zero.

Ex: (a - 6)(b + 5) = 0 then a - 6 = 0 or b + 5 = 0 then a = 6 or b = -5

This is the non-exclusive "or" so it could be that a = 6 AND b = -5.

Use the first link to factor like 2t7x4(3x5 - 4t2) = 0. Then t7 = 0, x4 = 0, or 3x5 - 4t2 = 0. Solve each. (The last one gives you one of the variables in terms of the other variable. That's all you can do. There's no special factoring that will work here.)