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Simplifying x2 + 3x + 6 = 2x + 1 Reorder the terms: 6 + 3x + x2 = 2x + 1 Reorder the terms: 6 + 3x + x2 = 1 + 2x Solving 6 + 3x + x2 = 1 + 2x Solving for variable 'x'. Reorder the terms: 6 + -1 + 3x + -2x + x2 = 1 + 2x + -1 + -2x Combine like terms: 6 + -1 = 5 5 + 3x + -2x + x2 = 1 + 2x + -1 + -2x Combine like terms: 3x + -2x = 1x 5 + 1x + x2 = 1 + 2x + -1 + -2x Reorder the terms: 5 + 1x + x2 = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 5 + 1x + x2 = 0 + 2x + -2x 5 + 1x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 1x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 1x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x + x2 = 0 + -5 1x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 1x + x2 = -5 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -5 + 0.25 Reorder the terms: 0.25 + x + x2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + x + x2 = -4.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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