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Simplifying x2 + 2x + 13 = -8 Reorder the terms: 13 + 2x + x2 = -8 Solving 13 + 2x + x2 = -8 Solving for variable 'x'. Reorder the terms: 13 + 8 + 2x + x2 = -8 + 8 Combine like terms: 13 + 8 = 21 21 + 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 21 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 2x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + 2x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2x + x2 = 0 + -21 2x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 2x + x2 = -21 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -21 + 1 Reorder the terms: 1 + 2x + x2 = -21 + 1 Combine like terms: -21 + 1 = -20 1 + 2x + x2 = -20 Factor a perfect square on the left side: (x + 1)(x + 1) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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