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Simplifying x2 + -3x + 4x + -3 + x + 8 + x + 9 = 0 Reorder the terms: -3 + 8 + 9 + -3x + 4x + x + x + x2 = 0 Combine like terms: -3 + 8 = 5 5 + 9 + -3x + 4x + x + x + x2 = 0 Combine like terms: 5 + 9 = 14 14 + -3x + 4x + x + x + x2 = 0 Combine like terms: -3x + 4x = 1x 14 + 1x + x + x + x2 = 0 Combine like terms: 1x + x = 2x 14 + 2x + x + x2 = 0 Combine like terms: 2x + x = 3x 14 + 3x + x2 = 0 Solving 14 + 3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 3x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 3x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x + x2 = 0 + -14 3x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 3x + x2 = -14 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -14 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -14 + 2.25 Combine like terms: -14 + 2.25 = -11.75 2.25 + 3x + x2 = -11.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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