Solve equation, given below, using factorisation method:

$x = \frac{3 x + 1}{4 x}$

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Solution

Given
$x equals fraction numerator 3 x plus 1 over denominator 4 x end fraction 4 x squared equals 3 x plus 1 4 x squared minus 3 x minus 1 equals 0 4 x squared minus 4 x plus x minus 1 equals 0 4 x open parentheses x minus 1 close parentheses plus open parentheses x minus 1 close parentheses equals 0 open parentheses 4 x plus 1 close parentheses open parentheses x minus 1 close parentheses equals 0 x equals 1 x equals fraction numerator negative 1 over denominator 4 end fraction$

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