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Simplifying 12x2 = 13x + -14 Reorder the terms: 12x2 = -14 + 13x Solving 12x2 = -14 + 13x Solving for variable 'x'. Reorder the terms: 14 + -13x + 12x2 = -14 + 13x + 14 + -13x Reorder the terms: 14 + -13x + 12x2 = -14 + 14 + 13x + -13x Combine like terms: -14 + 14 = 0 14 + -13x + 12x2 = 0 + 13x + -13x 14 + -13x + 12x2 = 13x + -13x Combine like terms: 13x + -13x = 0 14 + -13x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.166666667 + -1.083333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -1.083333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -1.083333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -1.083333333x + x2 = 0 + -1.166666667 -1.083333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -1.083333333x + x2 = -1.166666667 The x term is -1.083333333x. Take half its coefficient (-0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. -1.083333333x + 0.2934027776 + x2 = -1.166666667 + 0.2934027776 Reorder the terms: 0.2934027776 + -1.083333333x + x2 = -1.166666667 + 0.2934027776 Combine like terms: -1.166666667 + 0.2934027776 = -0.8732638894 0.2934027776 + -1.083333333x + x2 = -0.8732638894 Factor a perfect square on the left side: (x + -0.5416666665)(x + -0.5416666665) = -0.8732638894 Can't calculate square root of the right side. The solution to this equation could not be determined.
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