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Simplifying x2 + 8x + 16 = -18 Reorder the terms: 16 + 8x + x2 = -18 Solving 16 + 8x + x2 = -18 Solving for variable 'x'. Reorder the terms: 16 + 18 + 8x + x2 = -18 + 18 Combine like terms: 16 + 18 = 34 34 + 8x + x2 = -18 + 18 Combine like terms: -18 + 18 = 0 34 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 8x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 8x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 8x + x2 = 0 + -34 8x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 8x + x2 = -34 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 = -34 + 16 Reorder the terms: 16 + 8x + x2 = -34 + 16 Combine like terms: -34 + 16 = -18 16 + 8x + x2 = -18 Factor a perfect square on the left side: (x + 4)(x + 4) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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