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Simplifying 0 = 12x2 + -4x + 5 Reorder the terms: 0 = 5 + -4x + 12x2 Solving 0 = 5 + -4x + 12x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + 4x + -12x2 = 5 + -4x + 12x2 + -5 + 4x + -12x2 Reorder the terms: -5 + 4x + -12x2 = 5 + -5 + -4x + 4x + 12x2 + -12x2 Combine like terms: 5 + -5 = 0 -5 + 4x + -12x2 = 0 + -4x + 4x + 12x2 + -12x2 -5 + 4x + -12x2 = -4x + 4x + 12x2 + -12x2 Combine like terms: -4x + 4x = 0 -5 + 4x + -12x2 = 0 + 12x2 + -12x2 -5 + 4x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 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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