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Simplifying 209 + -100x + 12x2 = 0 Solving 209 + -100x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 17.41666667 + -8.333333333x + x2 = 0 Move the constant term to the right: Add '-17.41666667' to each side of the equation. 17.41666667 + -8.333333333x + -17.41666667 + x2 = 0 + -17.41666667 Reorder the terms: 17.41666667 + -17.41666667 + -8.333333333x + x2 = 0 + -17.41666667 Combine like terms: 17.41666667 + -17.41666667 = 0.00000000 0.00000000 + -8.333333333x + x2 = 0 + -17.41666667 -8.333333333x + x2 = 0 + -17.41666667 Combine like terms: 0 + -17.41666667 = -17.41666667 -8.333333333x + x2 = -17.41666667 The x term is -8.333333333x. Take half its coefficient (-4.166666667). Square it (17.36111111) and add it to both sides. Add '17.36111111' to each side of the equation. -8.333333333x + 17.36111111 + x2 = -17.41666667 + 17.36111111 Reorder the terms: 17.36111111 + -8.333333333x + x2 = -17.41666667 + 17.36111111 Combine like terms: -17.41666667 + 17.36111111 = -0.05555556 17.36111111 + -8.333333333x + x2 = -0.05555556 Factor a perfect square on the left side: (x + -4.166666667)(x + -4.166666667) = -0.05555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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