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Simplifying (5x2 + -3) + (x2 + -1x + 11) + (2x2 + -5x + 7) = 0 Reorder the terms: (-3 + 5x2) + (x2 + -1x + 11) + (2x2 + -5x + 7) = 0 Remove parenthesis around (-3 + 5x2) -3 + 5x2 + (x2 + -1x + 11) + (2x2 + -5x + 7) = 0 Reorder the terms: -3 + 5x2 + (11 + -1x + x2) + (2x2 + -5x + 7) = 0 Remove parenthesis around (11 + -1x + x2) -3 + 5x2 + 11 + -1x + x2 + (2x2 + -5x + 7) = 0 Reorder the terms: -3 + 5x2 + 11 + -1x + x2 + (7 + -5x + 2x2) = 0 Remove parenthesis around (7 + -5x + 2x2) -3 + 5x2 + 11 + -1x + x2 + 7 + -5x + 2x2 = 0 Reorder the terms: -3 + 11 + 7 + -1x + -5x + 5x2 + x2 + 2x2 = 0 Combine like terms: -3 + 11 = 8 8 + 7 + -1x + -5x + 5x2 + x2 + 2x2 = 0 Combine like terms: 8 + 7 = 15 15 + -1x + -5x + 5x2 + x2 + 2x2 = 0 Combine like terms: -1x + -5x = -6x 15 + -6x + 5x2 + x2 + 2x2 = 0 Combine like terms: 5x2 + x2 = 6x2 15 + -6x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 15 + -6x + 8x2 = 0 Solving 15 + -6x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + -0.75x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + -0.75x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + -0.75x + x2 = 0 + -1.875 -0.75x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 -0.75x + x2 = -1.875 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 = -1.875 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1.875 + 0.140625 Combine like terms: -1.875 + 0.140625 = -1.734375 0.140625 + -0.75x + x2 = -1.734375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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