SOLUTION: Please help me solve this question (6/7x-21)-(1/x^2-6x+9)+(1/x^2-9)=0

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Question 1088341: Please help me solve this question (6/7x-21)-(1/x^2-6x+9)+(1/x^2-9)=0
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me solve this question (6/7x-21)-(1/x^2-6x+9)+(1/x^2-9)=0
If it's: 6%2F%287x+-+21%29+-+1%2F%28x%5E2+-+6x+%2B+9%29+%2B+1%2F%28x%5E2+-+9%29+=+0, then read on!

6%2F7%28x+-+3%29+-+1%2F%28x+-+3%29%5E2+%2B+1%2F%28x+-+3%29%28x+%2B+3%29+=+0 ------- Factoring DENOMINATORS from left to right

6(x + 3)(x - 3) - 1[7(x + 3)] + 1[7(x - 3) = 0 ------- Multiplying entire equation by LCD, 7%28x+%2B+3%29%28x+-+3%29%5E2

6%28x%5E2+-+9%29+-+7x+-+21+%2B+7x+-+21+=+0

6x%5E2+-+54+-+7x+-+21+%2B+7x+-+21+=+0

6x%5E2+-+96+=+0

6%28x%5E2+-+16%29+=+6%280%29

x%5E2+-+16+=+0

highlight_green%28matrix%282%2C3%2C+x%2C+%22=%22%2C+-+4%2C+x%2C+%22=%22%2C+4%29%29