In 3x(x – 2) + x(5x – 2) = 6, what are the values of x?
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Answer:
x = 3/2 , - 1/2
Step-by-step explanation:
3x (x - 2) + x (5x - 2) = 6
3x² - 6x + 5x² - 2x = 6
8x² - 8x = 6
4x² - 4x = 3
4x² - 4x - 3 = 0
4x² - 6x + 2x - 3 = 0
2x (2x - 3) + 1 (2x - 3) = 0
(2x - 3) (2x + 1) = 0
2x - 3 = 0 Or 2x + 1 = 0
x = 3/2 Or x = - 1/2
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