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Simplifying (x2 + -5) + (8x2 + 5x + 9) + -1(-8x2 + 3) = 0 Reorder the terms: (-5 + x2) + (8x2 + 5x + 9) + -1(-8x2 + 3) = 0 Remove parenthesis around (-5 + x2) -5 + x2 + (8x2 + 5x + 9) + -1(-8x2 + 3) = 0 Reorder the terms: -5 + x2 + (9 + 5x + 8x2) + -1(-8x2 + 3) = 0 Remove parenthesis around (9 + 5x + 8x2) -5 + x2 + 9 + 5x + 8x2 + -1(-8x2 + 3) = 0 Reorder the terms: -5 + x2 + 9 + 5x + 8x2 + -1(3 + -8x2) = 0 -5 + x2 + 9 + 5x + 8x2 + (3 * -1 + -8x2 * -1) = 0 -5 + x2 + 9 + 5x + 8x2 + (-3 + 8x2) = 0 Reorder the terms: -5 + 9 + -3 + 5x + x2 + 8x2 + 8x2 = 0 Combine like terms: -5 + 9 = 4 4 + -3 + 5x + x2 + 8x2 + 8x2 = 0 Combine like terms: 4 + -3 = 1 1 + 5x + x2 + 8x2 + 8x2 = 0 Combine like terms: x2 + 8x2 = 9x2 1 + 5x + 9x2 + 8x2 = 0 Combine like terms: 9x2 + 8x2 = 17x2 1 + 5x + 17x2 = 0 Solving 1 + 5x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.05882352941 + 0.2941176471x + x2 = 0 Move the constant term to the right: Add '-0.05882352941' to each side of the equation. 0.05882352941 + 0.2941176471x + -0.05882352941 + x2 = 0 + -0.05882352941 Reorder the terms: 0.05882352941 + -0.05882352941 + 0.2941176471x + x2 = 0 + -0.05882352941 Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000 0.00000000000 + 0.2941176471x + x2 = 0 + -0.05882352941 0.2941176471x + x2 = 0 + -0.05882352941 Combine like terms: 0 + -0.05882352941 = -0.05882352941 0.2941176471x + x2 = -0.05882352941 The x term is 0.2941176471x. Take half its coefficient (0.1470588236). Square it (0.02162629760) and add it to both sides. Add '0.02162629760' to each side of the equation. 0.2941176471x + 0.02162629760 + x2 = -0.05882352941 + 0.02162629760 Reorder the terms: 0.02162629760 + 0.2941176471x + x2 = -0.05882352941 + 0.02162629760 Combine like terms: -0.05882352941 + 0.02162629760 = -0.03719723181 0.02162629760 + 0.2941176471x + x2 = -0.03719723181 Factor a perfect square on the left side: (x + 0.1470588236)(x + 0.1470588236) = -0.03719723181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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