I((3x-4)/(8x+7))I=6

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Solution for I((3x-4)/(8x+7))I=6 equation:



((3I-4)/(8I+7))=6
We move all terms to the left:
((3I-4)/(8I+7))-(6)=0
Domain of the equation: (8I+7))!=0
I∈R
We multiply all the terms by the denominator
((3I-4)-6*(8I+7))=0
We calculate terms in parentheses: +((3I-4)-6*(8I+7)), so:
(3I-4)-6*(8I+7)
We multiply parentheses
(3I-4)-48I-42
We get rid of parentheses
3I-48I-4-42
We add all the numbers together, and all the variables
-45I-46
Back to the equation:
+(-45I-46)
We get rid of parentheses
-45I-46=0
We move all terms containing I to the left, all other terms to the right
-45I=46
I=46/-45
I=-1+1/45

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