What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2-14x-284=−2x

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Step-by-step explanation:

The equation given to us is:

x² - 14x -284 = -2x

Lets solve the given equation

x² -14x + 2x - 284 = 0

x² - 12x - 284 = 0

Lets convert it into whole square, we know that

c²+2cd+d² = (c+d)²   or   c²-2cd+d² = (c+ (-d))²

So

x² - 12x - 284 = 0

x² - 2(x)(6) + 6² - 6² -284 = -

(x² - 2(x)(6) + 6²) - 36 - 284 = 0

(x + (-6))² - 320 = 0

(x + (-6))² = 320

if  a=-6 and b=320, then the equation becomes:

(x + a)² = b

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step-by-step explanation: