Description
Solve the quadratic equation using factoring: 14x2 + 3x = 2
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Explanation & Answer
Factoring [decomposition], we obtain:
14x² - 4x + 7x - 2 = 0
2x(7x - 2) + 1(7x - 2) = 0
(7x - 2)(2x + 1) = 0
Finally, by zero-product property:
7x - 2 = 0 and 2x + 1 = 0
7x = 2 and 2x = -1
x = {2/7, -½}
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