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Simplifying x2 + -18x + 111 = 0 Reorder the terms: 111 + -18x + x2 = 0 Solving 111 + -18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-111' to each side of the equation. 111 + -18x + -111 + x2 = 0 + -111 Reorder the terms: 111 + -111 + -18x + x2 = 0 + -111 Combine like terms: 111 + -111 = 0 0 + -18x + x2 = 0 + -111 -18x + x2 = 0 + -111 Combine like terms: 0 + -111 = -111 -18x + x2 = -111 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 = -111 + 81 Reorder the terms: 81 + -18x + x2 = -111 + 81 Combine like terms: -111 + 81 = -30 81 + -18x + x2 = -30 Factor a perfect square on the left side: (x + -9)(x + -9) = -30 Can't calculate square root of the right side. The solution to this equation could not be determined.
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