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Simplifying x2 + -18x + 117 = 0 Reorder the terms: 117 + -18x + x2 = 0 Solving 117 + -18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-117' to each side of the equation. 117 + -18x + -117 + x2 = 0 + -117 Reorder the terms: 117 + -117 + -18x + x2 = 0 + -117 Combine like terms: 117 + -117 = 0 0 + -18x + x2 = 0 + -117 -18x + x2 = 0 + -117 Combine like terms: 0 + -117 = -117 -18x + x2 = -117 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 = -117 + 81 Reorder the terms: 81 + -18x + x2 = -117 + 81 Combine like terms: -117 + 81 = -36 81 + -18x + x2 = -36 Factor a perfect square on the left side: (x + -9)(x + -9) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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