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Simplifying 9(x2 + 1) = x + 8 Reorder the terms: 9(1 + x2) = x + 8 (1 * 9 + x2 * 9) = x + 8 (9 + 9x2) = x + 8 Reorder the terms: 9 + 9x2 = 8 + x Solving 9 + 9x2 = 8 + x Solving for variable 'x'. Reorder the terms: 9 + -8 + -1x + 9x2 = 8 + x + -8 + -1x Combine like terms: 9 + -8 = 1 1 + -1x + 9x2 = 8 + x + -8 + -1x Reorder the terms: 1 + -1x + 9x2 = 8 + -8 + x + -1x Combine like terms: 8 + -8 = 0 1 + -1x + 9x2 = 0 + x + -1x 1 + -1x + 9x2 = x + -1x Combine like terms: x + -1x = 0 1 + -1x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.1111111111 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.1111111111x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + -0.1111111111x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.1111111111 -0.1111111111x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 -0.1111111111x + x2 = -0.1111111111 The x term is -0.1111111111x. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x + 0.003086419752 + x2 = -0.1111111111 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.1111111111 + 0.003086419752 Combine like terms: -0.1111111111 + 0.003086419752 = -0.108024691348 0.003086419752 + -0.1111111111x + x2 = -0.108024691348 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.108024691348 Can't calculate square root of the right side. The solution to this equation could not be determined.
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