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Simplifying 9x2 + -3x = 8x + -10 Reorder the terms: -3x + 9x2 = 8x + -10 Reorder the terms: -3x + 9x2 = -10 + 8x Solving -3x + 9x2 = -10 + 8x Solving for variable 'x'. Reorder the terms: 10 + -3x + -8x + 9x2 = -10 + 8x + 10 + -8x Combine like terms: -3x + -8x = -11x 10 + -11x + 9x2 = -10 + 8x + 10 + -8x Reorder the terms: 10 + -11x + 9x2 = -10 + 10 + 8x + -8x Combine like terms: -10 + 10 = 0 10 + -11x + 9x2 = 0 + 8x + -8x 10 + -11x + 9x2 = 8x + -8x Combine like terms: 8x + -8x = 0 10 + -11x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + -1.222222222x + x2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + -1.222222222x + -1.111111111 + x2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + -1.222222222x + x2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + -1.222222222x + x2 = 0 + -1.111111111 -1.222222222x + x2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 -1.222222222x + x2 = -1.111111111 The x term is -1.222222222x. Take half its coefficient (-0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. -1.222222222x + 0.3734567900 + x2 = -1.111111111 + 0.3734567900 Reorder the terms: 0.3734567900 + -1.222222222x + x2 = -1.111111111 + 0.3734567900 Combine like terms: -1.111111111 + 0.3734567900 = -0.737654321 0.3734567900 + -1.222222222x + x2 = -0.737654321 Factor a perfect square on the left side: (x + -0.611111111)(x + -0.611111111) = -0.737654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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