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(x-27)^2-(x-3)^2=3x-25

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Answer:

[tex] {(x - 27)}^{2} - {(x - 3)}^{2} = 3x - 25 \\ \\ (x - 27)(x - 27) - (x - 3)(x - 3) = 3x - 25 \\ \\ ( {x}^{2} - 54x + 729) - ( {x}^{2} - 6x + 9) = 3x - 25 \\ \\ ( {x}^{2} - 54x + 729) + ( - {x}^{2} + 6x - 9) = 3x - 25 \\ \\ - 48x + 720 = 3x - 25 \\ \\ 3x + 48x = 720 + 25 \\ \\ 51x = 745 \\ \\ x = \frac{745}{51} \\ \\ x = 14.6[/tex]

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