book Maths Puzzle Numerical Ability

Identify the shape of the graph, transform it into standard form, and sketch the graph.
9x^2 + 25y^2 - 18x - 150y + 9 = 0

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Hi I have not a clue how to do any of the proportions and I have a test this coming week! We have all of this proportions and tax-n-tip things and I feel as if I am the only one in My question is an Algebra I question. Please factor: C^2 - 8C + 8