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Simplifying x2 + -18x + 81 = 2x + -22 Reorder the terms: 81 + -18x + x2 = 2x + -22 Reorder the terms: 81 + -18x + x2 = -22 + 2x Solving 81 + -18x + x2 = -22 + 2x Solving for variable 'x'. Reorder the terms: 81 + 22 + -18x + -2x + x2 = -22 + 2x + 22 + -2x Combine like terms: 81 + 22 = 103 103 + -18x + -2x + x2 = -22 + 2x + 22 + -2x Combine like terms: -18x + -2x = -20x 103 + -20x + x2 = -22 + 2x + 22 + -2x Reorder the terms: 103 + -20x + x2 = -22 + 22 + 2x + -2x Combine like terms: -22 + 22 = 0 103 + -20x + x2 = 0 + 2x + -2x 103 + -20x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 103 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-103' to each side of the equation. 103 + -20x + -103 + x2 = 0 + -103 Reorder the terms: 103 + -103 + -20x + x2 = 0 + -103 Combine like terms: 103 + -103 = 0 0 + -20x + x2 = 0 + -103 -20x + x2 = 0 + -103 Combine like terms: 0 + -103 = -103 -20x + x2 = -103 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -103 + 100 Reorder the terms: 100 + -20x + x2 = -103 + 100 Combine like terms: -103 + 100 = -3 100 + -20x + x2 = -3 Factor a perfect square on the left side: (x + -10)(x + -10) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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