Prove that:

OR
Solve for x :
We know,
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Taking LHS
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Now, let
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Therefore, we have
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OR
We know,
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Given,
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⇒ 5x = 1 – 6x2
⇒ 6x2 + 5x – 1 = 0
⇒ 6x2 + 6x – x – 1 = 0
⇒ 6x(x + 1) – 1(x + 1) = 0
⇒ (6x – 1)(x + 1) = 0
⇒
or x = -1
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