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Simplifying 9x2 + 11x + 18 = 10x + 8 Reorder the terms: 18 + 11x + 9x2 = 10x + 8 Reorder the terms: 18 + 11x + 9x2 = 8 + 10x Solving 18 + 11x + 9x2 = 8 + 10x Solving for variable 'x'. Reorder the terms: 18 + -8 + 11x + -10x + 9x2 = 8 + 10x + -8 + -10x Combine like terms: 18 + -8 = 10 10 + 11x + -10x + 9x2 = 8 + 10x + -8 + -10x Combine like terms: 11x + -10x = 1x 10 + 1x + 9x2 = 8 + 10x + -8 + -10x Reorder the terms: 10 + 1x + 9x2 = 8 + -8 + 10x + -10x Combine like terms: 8 + -8 = 0 10 + 1x + 9x2 = 0 + 10x + -10x 10 + 1x + 9x2 = 10x + -10x Combine like terms: 10x + -10x = 0 10 + 1x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + 0.1111111111x + x2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + 0.1111111111x + -1.111111111 + x2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + 0.1111111111x + x2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + 0.1111111111x + x2 = 0 + -1.111111111 0.1111111111x + x2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 0.1111111111x + x2 = -1.111111111 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 = -1.111111111 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111x + x2 = -1.111111111 + 0.003086419752 Combine like terms: -1.111111111 + 0.003086419752 = -1.108024691248 0.003086419752 + 0.1111111111x + x2 = -1.108024691248 Factor a perfect square on the left side: (x + 0.05555555555)(x + 0.05555555555) = -1.108024691248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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