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Simplifying x2 + -18x + 81 = -24 Reorder the terms: 81 + -18x + x2 = -24 Solving 81 + -18x + x2 = -24 Solving for variable 'x'. Reorder the terms: 81 + 24 + -18x + x2 = -24 + 24 Combine like terms: 81 + 24 = 105 105 + -18x + x2 = -24 + 24 Combine like terms: -24 + 24 = 0 105 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-105' to each side of the equation. 105 + -18x + -105 + x2 = 0 + -105 Reorder the terms: 105 + -105 + -18x + x2 = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -18x + x2 = 0 + -105 -18x + x2 = 0 + -105 Combine like terms: 0 + -105 = -105 -18x + x2 = -105 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 = -105 + 81 Reorder the terms: 81 + -18x + x2 = -105 + 81 Combine like terms: -105 + 81 = -24 81 + -18x + x2 = -24 Factor a perfect square on the left side: (x + -9)(x + -9) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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