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Simplifying x2 + 5x + 100 = x + 8 Reorder the terms: 100 + 5x + x2 = x + 8 Reorder the terms: 100 + 5x + x2 = 8 + x Solving 100 + 5x + x2 = 8 + x Solving for variable 'x'. Reorder the terms: 100 + -8 + 5x + -1x + x2 = 8 + x + -8 + -1x Combine like terms: 100 + -8 = 92 92 + 5x + -1x + x2 = 8 + x + -8 + -1x Combine like terms: 5x + -1x = 4x 92 + 4x + x2 = 8 + x + -8 + -1x Reorder the terms: 92 + 4x + x2 = 8 + -8 + x + -1x Combine like terms: 8 + -8 = 0 92 + 4x + x2 = 0 + x + -1x 92 + 4x + x2 = x + -1x Combine like terms: x + -1x = 0 92 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-92' to each side of the equation. 92 + 4x + -92 + x2 = 0 + -92 Reorder the terms: 92 + -92 + 4x + x2 = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 4x + x2 = 0 + -92 4x + x2 = 0 + -92 Combine like terms: 0 + -92 = -92 4x + x2 = -92 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -92 + 4 Reorder the terms: 4 + 4x + x2 = -92 + 4 Combine like terms: -92 + 4 = -88 4 + 4x + x2 = -88 Factor a perfect square on the left side: (x + 2)(x + 2) = -88 Can't calculate square root of the right side. The solution to this equation could not be determined.
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