Question

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$x {}^{2} - 2x = 48$
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Answer 1

${x}^{2} - 2x = 48 \\ {x}^{2} - 2x - 48 = 0 \\ {x}^{2} - 8x + 6 x - 48 = 0 \\ x(x - 8) + 6(x - 8) \\ (x + 6)(x - 8) = 0 \\ x + 6 = 0 \: \: \: \: \: \: \: \: \: \: x - 8 = 0 \\ x = - 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 8$

Answer 2

Answer:

we use a+b+c=0 identity by 2

in which a=2 b=2 c=48

2-2-48=0

48 divided by 2 answer is 24

x=24