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Question
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
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Solution
We have been given
6x2 + 11x + 3 = 0
6x2 + 9x + 2x + 3 = 0
3x(2x + 3) + 1(2x + 3) = 0
(2x + 3) (3x + 1) = 0
2x + 3 = 0
2x = -3
x = -3/2
or,
3x + 1 = 0
3x = -1
x = -1/3
Hence, x = -1/2 or x = -1/3
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