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Simplifying 12x2 + 9x + -8x + 6 = 1 + 5x Reorder the terms: 6 + 9x + -8x + 12x2 = 1 + 5x Combine like terms: 9x + -8x = 1x 6 + 1x + 12x2 = 1 + 5x Solving 6 + 1x + 12x2 = 1 + 5x Solving for variable 'x'. Reorder the terms: 6 + -1 + 1x + -5x + 12x2 = 1 + 5x + -1 + -5x Combine like terms: 6 + -1 = 5 5 + 1x + -5x + 12x2 = 1 + 5x + -1 + -5x Combine like terms: 1x + -5x = -4x 5 + -4x + 12x2 = 1 + 5x + -1 + -5x Reorder the terms: 5 + -4x + 12x2 = 1 + -1 + 5x + -5x Combine like terms: 1 + -1 = 0 5 + -4x + 12x2 = 0 + 5x + -5x 5 + -4x + 12x2 = 5x + -5x Combine like terms: 5x + -5x = 0 5 + -4x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.4166666667 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + -0.3333333333x + -0.4166666667 + x2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + -0.3333333333x + x2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + -0.3333333333x + x2 = 0 + -0.4166666667 -0.3333333333x + x2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 -0.3333333333x + x2 = -0.4166666667 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -0.4166666667 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -0.4166666667 + 0.02777777779 Combine like terms: -0.4166666667 + 0.02777777779 = -0.38888888891 0.02777777779 + -0.3333333333x + x2 = -0.38888888891 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -0.38888888891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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