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Simplifying 13x2 + 12x + 6 = 0 Reorder the terms: 6 + 12x + 13x2 = 0 Solving 6 + 12x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.4615384615 + 0.9230769231x + x2 = 0 Move the constant term to the right: Add '-0.4615384615' to each side of the equation. 0.4615384615 + 0.9230769231x + -0.4615384615 + x2 = 0 + -0.4615384615 Reorder the terms: 0.4615384615 + -0.4615384615 + 0.9230769231x + x2 = 0 + -0.4615384615 Combine like terms: 0.4615384615 + -0.4615384615 = 0.0000000000 0.0000000000 + 0.9230769231x + x2 = 0 + -0.4615384615 0.9230769231x + x2 = 0 + -0.4615384615 Combine like terms: 0 + -0.4615384615 = -0.4615384615 0.9230769231x + x2 = -0.4615384615 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 = -0.4615384615 + 0.2130177515 Reorder the terms: 0.2130177515 + 0.9230769231x + x2 = -0.4615384615 + 0.2130177515 Combine like terms: -0.4615384615 + 0.2130177515 = -0.24852071 0.2130177515 + 0.9230769231x + x2 = -0.24852071 Factor a perfect square on the left side: (x + 0.4615384616)(x + 0.4615384616) = -0.24852071 Can't calculate square root of the right side. The solution to this equation could not be determined.
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