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Simplifying 0.5 = 12x2 + -2x + 2 Reorder the terms: 0.5 = 2 + -2x + 12x2 Solving 0.5 = 2 + -2x + 12x2 Solving for variable 'x'. Combine like terms: 0.5 + -2 = -1.5 -1.5 + 2x + -12x2 = 2 + -2x + 12x2 + -2 + 2x + -12x2 Reorder the terms: -1.5 + 2x + -12x2 = 2 + -2 + -2x + 2x + 12x2 + -12x2 Combine like terms: 2 + -2 = 0 -1.5 + 2x + -12x2 = 0 + -2x + 2x + 12x2 + -12x2 -1.5 + 2x + -12x2 = -2x + 2x + 12x2 + -12x2 Combine like terms: -2x + 2x = 0 -1.5 + 2x + -12x2 = 0 + 12x2 + -12x2 -1.5 + 2x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -1.5 + 2x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 0.125 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.1666666667x + -0.125 + x2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.1666666667x + x2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.1666666667x + x2 = 0 + -0.125 -0.1666666667x + x2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.1666666667x + x2 = -0.125 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = -0.125 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -0.125 + 0.006944444447 Combine like terms: -0.125 + 0.006944444447 = -0.118055555553 0.006944444447 + -0.1666666667x + x2 = -0.118055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -0.118055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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