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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

It works like this: First, I put the loose number on the other side of the equation:x2 – 4x – 8 = 0 x2 – 4x = 12Then I look at the coefficient of the x-term, which is –4 in this case. I take half of this number (including the sign), giving me –2. Then I square this value to get +4, and add this squared value to both sides of the equation:x2 – 4x + 4 = 8 + 4 x2 – 4x + 4 = 16This process creates a quadratic that is a perfect square, and factoring gives me:(x – 2)2 = 16