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Simplifying x2 = 18x + -162 Reorder the terms: x2 = -162 + 18x Solving x2 = -162 + 18x Solving for variable 'x'. Reorder the terms: 162 + -18x + x2 = -162 + 18x + 162 + -18x Reorder the terms: 162 + -18x + x2 = -162 + 162 + 18x + -18x Combine like terms: -162 + 162 = 0 162 + -18x + x2 = 0 + 18x + -18x 162 + -18x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 162 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-162' to each side of the equation. 162 + -18x + -162 + x2 = 0 + -162 Reorder the terms: 162 + -162 + -18x + x2 = 0 + -162 Combine like terms: 162 + -162 = 0 0 + -18x + x2 = 0 + -162 -18x + x2 = 0 + -162 Combine like terms: 0 + -162 = -162 -18x + x2 = -162 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 = -162 + 81 Reorder the terms: 81 + -18x + x2 = -162 + 81 Combine like terms: -162 + 81 = -81 81 + -18x + x2 = -81 Factor a perfect square on the left side: (x + -9)(x + -9) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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