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Math

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please solve 3x² - 5x = -2 for x using the appropriate method

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answer: x = 2/3 ; x = 1

solution: (Factoring)

3x²- 5x = -2

3x² - 5x + 2 = 0

3x² -3x - 2x + 2 = 0

(3x²- 3x) + (-2x +2) = 0

3x (x - 1) -2 (x - 1) = 0

(3x - 2) (x - 1) = 0

3x - 2 = 0

3x = 2

x = 2/3

x - 1 = 0

x = 1

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