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Simplifying 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 = 79 79 + 14x + x2 = -96 + 96 Combine like terms: -96 + 96 = 0 79 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-79' to each side of the equation. 79 + 14x + -79 + x2 = 0 + -79 Reorder the terms: 79 + -79 + 14x + x2 = 0 + -79 Combine like terms: 79 + -79 = 0 0 + 14x + x2 = 0 + -79 14x + x2 = 0 + -79 Combine like terms: 0 + -79 = -79 14x + x2 = -79 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 = -79 + 49 Reorder the terms: 49 + 14x + x2 = -79 + 49 Combine like terms: -79 + 49 = -30 49 + 14x + x2 = -30 Factor a perfect square on the left side: (x + 7)(x + 7) = -30 Can't calculate square root of the right side. The solution to this equation could not be determined.
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