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Simplifying x2 + 18x = -97 Reorder the terms: 18x + x2 = -97 Solving 18x + x2 = -97 Solving for variable 'x'. Reorder the terms: 97 + 18x + x2 = -97 + 97 Combine like terms: -97 + 97 = 0 97 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-97' to each side of the equation. 97 + 18x + -97 + x2 = 0 + -97 Reorder the terms: 97 + -97 + 18x + x2 = 0 + -97 Combine like terms: 97 + -97 = 0 0 + 18x + x2 = 0 + -97 18x + x2 = 0 + -97 Combine like terms: 0 + -97 = -97 18x + x2 = -97 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -97 + 81 Reorder the terms: 81 + 18x + x2 = -97 + 81 Combine like terms: -97 + 81 = -16 81 + 18x + x2 = -16 Factor a perfect square on the left side: (x + 9)(x + 9) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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