Answer:
x = -4/3 or 3/4
Step-by-step explanation:
To solve the equation by completing the square, it is convenient to have the leading coefficient be 1. Accordingly, we divide the equation by 12:
x^2 +7/12x -1 = 0
Add the constant.
x^2 +7/12x = 1
Add the square of half the x-coefficient.
x^2 +7/12x +49/576 = 1 +49/576
Write the left side as a square; simplify the right side.
(x +7/24)^2 = 625/576
Take the square root.
x +7/24 = ±25/24
x = (-7 ±25)/24
x = -4/3 or 3/4
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These solutions suggest the equation could be factored as ...
(3x +4)(4x -3) = -0
