4(2x - 3)^2 - (2x - 3) - 14 = 0 ......pls solve this question step by step solution
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Let, 2x-3 = a.
So, the given equation will become 4a²-a-14 = 0
Now, solving it, we will get :
4a²-7a+8a-14 = 0
or, 4a(a+2)-7(a+2) = 0
or, (a+2) (4a-7) = 0
From here, we get : a = -2 or, a = 7/4
Clearly, the two required solutions are :
2x-3 = -2 or, x = 1/2
2x-3 = 7/4 or, 8x-12 = 7 or, 8x = 19 or, x = 19/8
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