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Simplifying x2 + 5x + 13 = x * 2 + 5 Reorder the terms: 13 + 5x + x2 = x * 2 + 5 Reorder the terms for easier multiplication: 13 + 5x + x2 = 2x + 5 Reorder the terms: 13 + 5x + x2 = 5 + 2x Solving 13 + 5x + x2 = 5 + 2x Solving for variable 'x'. Reorder the terms: 13 + -5 + 5x + -2x + x2 = 5 + 2x + -5 + -2x Combine like terms: 13 + -5 = 8 8 + 5x + -2x + x2 = 5 + 2x + -5 + -2x Combine like terms: 5x + -2x = 3x 8 + 3x + x2 = 5 + 2x + -5 + -2x Reorder the terms: 8 + 3x + x2 = 5 + -5 + 2x + -2x Combine like terms: 5 + -5 = 0 8 + 3x + x2 = 0 + 2x + -2x 8 + 3x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 3x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 3x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x + x2 = 0 + -8 3x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3x + x2 = -8 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 = -8 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + 3x + x2 = -5.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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