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Simplifying x2 = x + -465 Reorder the terms: x2 = -465 + x Solving x2 = -465 + x Solving for variable 'x'. Reorder the terms: 465 + -1x + x2 = -465 + x + 465 + -1x Reorder the terms: 465 + -1x + x2 = -465 + 465 + x + -1x Combine like terms: -465 + 465 = 0 465 + -1x + x2 = 0 + x + -1x 465 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 465 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-465' to each side of the equation. 465 + -1x + -465 + x2 = 0 + -465 Reorder the terms: 465 + -465 + -1x + x2 = 0 + -465 Combine like terms: 465 + -465 = 0 0 + -1x + x2 = 0 + -465 -1x + x2 = 0 + -465 Combine like terms: 0 + -465 = -465 -1x + x2 = -465 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -465 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -465 + 0.25 Combine like terms: -465 + 0.25 = -464.75 0.25 + -1x + x2 = -464.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -464.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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