exam Maths Puzzle Numerical Ability

Solve for x: (27)(^x-2)=(9^1/3)^x I think the answer is x=4 ?????????/

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exam Other Question

Please help me solve this equation:
(x^2)+(sqrt22)(x)=0

Thank you! What does a binomial multiplied by a binomial look like? Is it something like this (2x+9)(3x-9)? How doI solve this type of problem? Please help, thank you