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Simplifying x2 + 49 + 4x + 28 + 3 = 0 Reorder the terms: 49 + 28 + 3 + 4x + x2 = 0 Combine like terms: 49 + 28 = 77 77 + 3 + 4x + x2 = 0 Combine like terms: 77 + 3 = 80 80 + 4x + x2 = 0 Solving 80 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 4x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + 4x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 4x + x2 = 0 + -80 4x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 4x + x2 = -80 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 = -80 + 4 Reorder the terms: 4 + 4x + x2 = -80 + 4 Combine like terms: -80 + 4 = -76 4 + 4x + x2 = -76 Factor a perfect square on the left side: (x + 2)(x + 2) = -76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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