SOLUTION: 10/x - 12/x-3 + 4 = 0
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Question 44997
:
10/x - 12/x-3 + 4 = 0
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10(x(x-3))/x - 12(x(x-3))/x-3 + 4x(x-3) = 0
10x - 30 - 12x + 4x^2 - 12x = 0
4x^2 - 14x - 30 = 0
2x^2 - 7x - 15 = 0
2x^2 - 10x + 3x - 15 = 0
(2x^2 - 10x) + (3x - 15) = 0
2x(x - 5) + 3(x - 5) = 0
(2x + 3)(x - 5) = 0
x = -1.5 and x = 5