1.

50x​

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Let's SOLVE the bracket first.

{50x}^{2}  - 2 {(<klux>X</klux> - 2)}^{2}

{50x}^{2}  - 2( {x}^{2}  - 4x + 4)

{50x}^{2}  - 2 {x}^{2}  + 8x - 8

Reduce to simplest form.

{48x}^{2}  + 8x - 8

The equation is....

{6x}^{2}  + x - 1

By splitting the MIDDLE TERM,

6 {x}^{2}  + 3x  - 2x - 1 = 0

3x(2x  + 1) - 1(2x + 1) = 0

(3x - 1)(2x + 1) = 0

HENCE the value of 'x' is....

x =  \frac{1}{3}  \: or \:  \frac{ - 1}{2}

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