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Simplifying 0 = 36x2 + -12x + 19 Reorder the terms: 0 = 19 + -12x + 36x2 Solving 0 = 19 + -12x + 36x2 Solving for variable 'x'. Combine like terms: 0 + -19 = -19 -19 + 12x + -36x2 = 19 + -12x + 36x2 + -19 + 12x + -36x2 Reorder the terms: -19 + 12x + -36x2 = 19 + -19 + -12x + 12x + 36x2 + -36x2 Combine like terms: 19 + -19 = 0 -19 + 12x + -36x2 = 0 + -12x + 12x + 36x2 + -36x2 -19 + 12x + -36x2 = -12x + 12x + 36x2 + -36x2 Combine like terms: -12x + 12x = 0 -19 + 12x + -36x2 = 0 + 36x2 + -36x2 -19 + 12x + -36x2 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 -19 + 12x + -36x2 = 0 Begin completing the square. Divide all terms by -36 the coefficient of the squared term: Divide each side by '-36'. 0.5277777778 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.5277777778' to each side of the equation. 0.5277777778 + -0.3333333333x + -0.5277777778 + x2 = 0 + -0.5277777778 Reorder the terms: 0.5277777778 + -0.5277777778 + -0.3333333333x + x2 = 0 + -0.5277777778 Combine like terms: 0.5277777778 + -0.5277777778 = 0.0000000000 0.0000000000 + -0.3333333333x + x2 = 0 + -0.5277777778 -0.3333333333x + x2 = 0 + -0.5277777778 Combine like terms: 0 + -0.5277777778 = -0.5277777778 -0.3333333333x + x2 = -0.5277777778 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 = -0.5277777778 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -0.5277777778 + 0.02777777779 Combine like terms: -0.5277777778 + 0.02777777779 = -0.50000000001 0.02777777779 + -0.3333333333x + x2 = -0.50000000001 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -0.50000000001 Can't calculate square root of the right side. The solution to this equation could not be determined.
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