SOLUTION: I need help with this homework problem: t+22/t square-t-72 + 8/t-9 = 4/t+8 Thank you.

Question 144708: I need help with this homework problem:
t+22/t square-t-72 + 8/t-9 = 4/t+8
Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Factor to get

Multiply every term by the LCD to clear out the fractions

Cancel like terms

Simplify

Distribute

Combine like terms on the left side

Subtract 86 from both sides

Subtract 4t from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 5 to isolate t

Reduce

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Answer:
So our answer is (which is approximately in decimal form)

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