Solve for x:

Given:

On taking LCM we get,
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On cross multiplying, we get,
(2x + 3)(x + 4) = 4(x + 1)(x + 2)
(2x2 + 8x + 3x + 12) = 4(x2 + 2x + x + 2)
2x2 + 11x + 12 = 4x2 + 12x + 8
2x2 + x - 4 = 0
As we know for an equation ax2 + bx + x = 0
We have
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Here a = 2, b = 1 and c = - 4

Or

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