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Simplifying (x2 + -3x + 2) + -1(x + -4x2) + 3x(2x + 1) = 0 Reorder the terms: (2 + -3x + x2) + -1(x + -4x2) + 3x(2x + 1) = 0 Remove parenthesis around (2 + -3x + x2) 2 + -3x + x2 + -1(x + -4x2) + 3x(2x + 1) = 0 2 + -3x + x2 + (x * -1 + -4x2 * -1) + 3x(2x + 1) = 0 2 + -3x + x2 + (-1x + 4x2) + 3x(2x + 1) = 0 Reorder the terms: 2 + -3x + x2 + -1x + 4x2 + 3x(1 + 2x) = 0 2 + -3x + x2 + -1x + 4x2 + (1 * 3x + 2x * 3x) = 0 2 + -3x + x2 + -1x + 4x2 + (3x + 6x2) = 0 Reorder the terms: 2 + -3x + -1x + 3x + x2 + 4x2 + 6x2 = 0 Combine like terms: -3x + -1x = -4x 2 + -4x + 3x + x2 + 4x2 + 6x2 = 0 Combine like terms: -4x + 3x = -1x 2 + -1x + x2 + 4x2 + 6x2 = 0 Combine like terms: x2 + 4x2 = 5x2 2 + -1x + 5x2 + 6x2 = 0 Combine like terms: 5x2 + 6x2 = 11x2 2 + -1x + 11x2 = 0 Solving 2 + -1x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.1818181818 + -0.09090909091x + x2 = 0 Move the constant term to the right: Add '-0.1818181818' to each side of the equation. 0.1818181818 + -0.09090909091x + -0.1818181818 + x2 = 0 + -0.1818181818 Reorder the terms: 0.1818181818 + -0.1818181818 + -0.09090909091x + x2 = 0 + -0.1818181818 Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000 0.0000000000 + -0.09090909091x + x2 = 0 + -0.1818181818 -0.09090909091x + x2 = 0 + -0.1818181818 Combine like terms: 0 + -0.1818181818 = -0.1818181818 -0.09090909091x + x2 = -0.1818181818 The x term is -0.09090909091x. Take half its coefficient (-0.04545454546). Square it (0.002066115703) and add it to both sides. Add '0.002066115703' to each side of the equation. -0.09090909091x + 0.002066115703 + x2 = -0.1818181818 + 0.002066115703 Reorder the terms: 0.002066115703 + -0.09090909091x + x2 = -0.1818181818 + 0.002066115703 Combine like terms: -0.1818181818 + 0.002066115703 = -0.179752066097 0.002066115703 + -0.09090909091x + x2 = -0.179752066097 Factor a perfect square on the left side: (x + -0.04545454546)(x + -0.04545454546) = -0.179752066097 Can't calculate square root of the right side. The solution to this equation could not be determined.
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