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Simplifying 0 = 12x2 + -1x + 11 Reorder the terms: 0 = 11 + -1x + 12x2 Solving 0 = 11 + -1x + 12x2 Solving for variable 'x'. Combine like terms: 0 + -11 = -11 -11 + x + -12x2 = 11 + -1x + 12x2 + -11 + x + -12x2 Reorder the terms: -11 + x + -12x2 = 11 + -11 + -1x + x + 12x2 + -12x2 Combine like terms: 11 + -11 = 0 -11 + x + -12x2 = 0 + -1x + x + 12x2 + -12x2 -11 + x + -12x2 = -1x + x + 12x2 + -12x2 Combine like terms: -1x + x = 0 -11 + x + -12x2 = 0 + 12x2 + -12x2 -11 + x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -11 + x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 0.9166666667 + -0.08333333333x + x2 = 0 Move the constant term to the right: Add '-0.9166666667' to each side of the equation. 0.9166666667 + -0.08333333333x + -0.9166666667 + x2 = 0 + -0.9166666667 Reorder the terms: 0.9166666667 + -0.9166666667 + -0.08333333333x + x2 = 0 + -0.9166666667 Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000 0.0000000000 + -0.08333333333x + x2 = 0 + -0.9166666667 -0.08333333333x + x2 = 0 + -0.9166666667 Combine like terms: 0 + -0.9166666667 = -0.9166666667 -0.08333333333x + x2 = -0.9166666667 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.08333333333x + 0.25 + x2 = -0.9166666667 + 0.25 Reorder the terms: 0.25 + -0.08333333333x + x2 = -0.9166666667 + 0.25 Combine like terms: -0.9166666667 + 0.25 = -0.6666666667 0.25 + -0.08333333333x + x2 = -0.6666666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.6666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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