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Simplifying x2 + 8x + 16 = -10 Reorder the terms: 16 + 8x + x2 = -10 Solving 16 + 8x + x2 = -10 Solving for variable 'x'. Reorder the terms: 16 + 10 + 8x + x2 = -10 + 10 Combine like terms: 16 + 10 = 26 26 + 8x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 26 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 8x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + 8x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 8x + x2 = 0 + -26 8x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 8x + x2 = -26 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -26 + 16 Reorder the terms: 16 + 8x + x2 = -26 + 16 Combine like terms: -26 + 16 = -10 16 + 8x + x2 = -10 Factor a perfect square on the left side: (x + 4)(x + 4) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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