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Simplifying x2 + 14x + 49 = -17 Reorder the terms: 49 + 14x + x2 = -17 Solving 49 + 14x + x2 = -17 Solving for variable 'x'. Reorder the terms: 49 + 17 + 14x + x2 = -17 + 17 Combine like terms: 49 + 17 = 66 66 + 14x + x2 = -17 + 17 Combine like terms: -17 + 17 = 0 66 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-66' to each side of the equation. 66 + 14x + -66 + x2 = 0 + -66 Reorder the terms: 66 + -66 + 14x + x2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 14x + x2 = 0 + -66 14x + x2 = 0 + -66 Combine like terms: 0 + -66 = -66 14x + x2 = -66 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -66 + 49 Reorder the terms: 49 + 14x + x2 = -66 + 49 Combine like terms: -66 + 49 = -17 49 + 14x + x2 = -17 Factor a perfect square on the left side: (x + 7)(x + 7) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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