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9^2x+1=81^x-2/3^x-
We move all terms to the left:
9^2x+1-(81^x-2/3^x-)=0
Domain of the equation: 3^x-)!=0We get rid of parentheses
x∈R
9^2x-81^x+2/3^x+1+=0
We multiply all the terms by the denominator
9^2x*3^x-81^x*3^x+1*3^x+()*3^x+2=0
Wy multiply elements
27x^3-243x^2+3x+()*3^x+2=0
We do not support expression: x^3
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