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Simplifying (x2 + 7x + -6) + (-6x2 + -3x + 1) + (x2 + -1x + -9) = 0 Reorder the terms: (-6 + 7x + x2) + (-6x2 + -3x + 1) + (x2 + -1x + -9) = 0 Remove parenthesis around (-6 + 7x + x2) -6 + 7x + x2 + (-6x2 + -3x + 1) + (x2 + -1x + -9) = 0 Reorder the terms: -6 + 7x + x2 + (1 + -3x + -6x2) + (x2 + -1x + -9) = 0 Remove parenthesis around (1 + -3x + -6x2) -6 + 7x + x2 + 1 + -3x + -6x2 + (x2 + -1x + -9) = 0 Reorder the terms: -6 + 7x + x2 + 1 + -3x + -6x2 + (-9 + -1x + x2) = 0 Remove parenthesis around (-9 + -1x + x2) -6 + 7x + x2 + 1 + -3x + -6x2 + -9 + -1x + x2 = 0 Reorder the terms: -6 + 1 + -9 + 7x + -3x + -1x + x2 + -6x2 + x2 = 0 Combine like terms: -6 + 1 = -5 -5 + -9 + 7x + -3x + -1x + x2 + -6x2 + x2 = 0 Combine like terms: -5 + -9 = -14 -14 + 7x + -3x + -1x + x2 + -6x2 + x2 = 0 Combine like terms: 7x + -3x = 4x -14 + 4x + -1x + x2 + -6x2 + x2 = 0 Combine like terms: 4x + -1x = 3x -14 + 3x + x2 + -6x2 + x2 = 0 Combine like terms: x2 + -6x2 = -5x2 -14 + 3x + -5x2 + x2 = 0 Combine like terms: -5x2 + x2 = -4x2 -14 + 3x + -4x2 = 0 Solving -14 + 3x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 3.5 + -0.75x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -0.75x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.75x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.75x + x2 = 0 + -3.5 -0.75x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -0.75x + x2 = -3.5 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -3.5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -3.5 + 0.140625 Combine like terms: -3.5 + 0.140625 = -3.359375 0.140625 + -0.75x + x2 = -3.359375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -3.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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