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Simplifying x2 + 8x + 16 = x + 2 Reorder the terms: 16 + 8x + x2 = x + 2 Reorder the terms: 16 + 8x + x2 = 2 + x Solving 16 + 8x + x2 = 2 + x Solving for variable 'x'. Reorder the terms: 16 + -2 + 8x + -1x + x2 = 2 + x + -2 + -1x Combine like terms: 16 + -2 = 14 14 + 8x + -1x + x2 = 2 + x + -2 + -1x Combine like terms: 8x + -1x = 7x 14 + 7x + x2 = 2 + x + -2 + -1x Reorder the terms: 14 + 7x + x2 = 2 + -2 + x + -1x Combine like terms: 2 + -2 = 0 14 + 7x + x2 = 0 + x + -1x 14 + 7x + x2 = x + -1x Combine like terms: x + -1x = 0 14 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 7x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 7x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x + x2 = 0 + -14 7x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 7x + x2 = -14 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -14 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + 7x + x2 = -1.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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