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Simplifying 0 = 13x2 + -12x + 11 Reorder the terms: 0 = 11 + -12x + 13x2 Solving 0 = 11 + -12x + 13x2 Solving for variable 'x'. Combine like terms: 0 + -11 = -11 -11 + 12x + -13x2 = 11 + -12x + 13x2 + -11 + 12x + -13x2 Reorder the terms: -11 + 12x + -13x2 = 11 + -11 + -12x + 12x + 13x2 + -13x2 Combine like terms: 11 + -11 = 0 -11 + 12x + -13x2 = 0 + -12x + 12x + 13x2 + -13x2 -11 + 12x + -13x2 = -12x + 12x + 13x2 + -13x2 Combine like terms: -12x + 12x = 0 -11 + 12x + -13x2 = 0 + 13x2 + -13x2 -11 + 12x + -13x2 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 -11 + 12x + -13x2 = 0 Begin completing the square. Divide all terms by -13 the coefficient of the squared term: Divide each side by '-13'. 0.8461538462 + -0.9230769231x + x2 = 0 Move the constant term to the right: Add '-0.8461538462' to each side of the equation. 0.8461538462 + -0.9230769231x + -0.8461538462 + x2 = 0 + -0.8461538462 Reorder the terms: 0.8461538462 + -0.8461538462 + -0.9230769231x + x2 = 0 + -0.8461538462 Combine like terms: 0.8461538462 + -0.8461538462 = 0.0000000000 0.0000000000 + -0.9230769231x + x2 = 0 + -0.8461538462 -0.9230769231x + x2 = 0 + -0.8461538462 Combine like terms: 0 + -0.8461538462 = -0.8461538462 -0.9230769231x + x2 = -0.8461538462 The x term is -0.9230769231x. Take half its coefficient (-0.4615384616). Square it (0.2130177515) and add it to both sides. Add '0.2130177515' to each side of the equation. -0.9230769231x + 0.2130177515 + x2 = -0.8461538462 + 0.2130177515 Reorder the terms: 0.2130177515 + -0.9230769231x + x2 = -0.8461538462 + 0.2130177515 Combine like terms: -0.8461538462 + 0.2130177515 = -0.6331360947 0.2130177515 + -0.9230769231x + x2 = -0.6331360947 Factor a perfect square on the left side: (x + -0.4615384616)(x + -0.4615384616) = -0.6331360947 Can't calculate square root of the right side. The solution to this equation could not be determined.
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