Question

50x
$50x ^{2} - 2(x - 2) {}^{2}$
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Answer 1

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Let's solve the bracket first.

${50x}^{2} - 2 {(x - 2)}^{2}$

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

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

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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Answer 2

{tex}50x^{2}-2(x-2) {}^{2} {/tex]