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Here are the steps:

ax^2 + bx + c = 0 Subtract c and divide by a

x^2 + (b/a)x = -(c/a) Take the square of (b/a)/2 and add it to both sides

(x + ((b/a)/2))^2 = -(c/a) + ((b/a)/2)^2 Take the square root of both sides

Subtract ((b/a)/2) and you have your solutions:

x = -(c/a) + ((b/a)/2)^2 - ((b/a)/2)

x = (c/a) - ((b/a)/2)^2 - ((b/a)/2)

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