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Simplifying x2 = 18x + -97 Reorder the terms: x2 = -97 + 18x Solving x2 = -97 + 18x Solving for variable 'x'. Reorder the terms: 97 + -18x + x2 = -97 + 18x + 97 + -18x Reorder the terms: 97 + -18x + x2 = -97 + 97 + 18x + -18x Combine like terms: -97 + 97 = 0 97 + -18x + x2 = 0 + 18x + -18x 97 + -18x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 97 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-97' to each side of the equation. 97 + -18x + -97 + x2 = 0 + -97 Reorder the terms: 97 + -97 + -18x + x2 = 0 + -97 Combine like terms: 97 + -97 = 0 0 + -18x + x2 = 0 + -97 -18x + x2 = 0 + -97 Combine like terms: 0 + -97 = -97 -18x + x2 = -97 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 = -97 + 81 Reorder the terms: 81 + -18x + x2 = -97 + 81 Combine like terms: -97 + 81 = -16 81 + -18x + x2 = -16 Factor a perfect square on the left side: (x + -9)(x + -9) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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