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Simplifying (x2) + 14x + 17 = -96 x2 + 14x + 17 = -96 Reorder the terms: 17 + 14x + x2 = -96 Solving 17 + 14x + x2 = -96 Solving for variable 'x'. Reorder the terms: 17 + 96 + 14x + x2 = -96 + 96 Combine like terms: 17 + 96 = 113 113 + 14x + x2 = -96 + 96 Combine like terms: -96 + 96 = 0 113 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-113' to each side of the equation. 113 + 14x + -113 + x2 = 0 + -113 Reorder the terms: 113 + -113 + 14x + x2 = 0 + -113 Combine like terms: 113 + -113 = 0 0 + 14x + x2 = 0 + -113 14x + x2 = 0 + -113 Combine like terms: 0 + -113 = -113 14x + x2 = -113 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 = -113 + 49 Reorder the terms: 49 + 14x + x2 = -113 + 49 Combine like terms: -113 + 49 = -64 49 + 14x + x2 = -64 Factor a perfect square on the left side: (x + 7)(x + 7) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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