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Simplifying x2 + -1x + 18 = -2x + 2 Reorder the terms: 18 + -1x + x2 = -2x + 2 Reorder the terms: 18 + -1x + x2 = 2 + -2x Solving 18 + -1x + x2 = 2 + -2x Solving for variable 'x'. Reorder the terms: 18 + -2 + -1x + 2x + x2 = 2 + -2x + -2 + 2x Combine like terms: 18 + -2 = 16 16 + -1x + 2x + x2 = 2 + -2x + -2 + 2x Combine like terms: -1x + 2x = 1x 16 + 1x + x2 = 2 + -2x + -2 + 2x Reorder the terms: 16 + 1x + x2 = 2 + -2 + -2x + 2x Combine like terms: 2 + -2 = 0 16 + 1x + x2 = 0 + -2x + 2x 16 + 1x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 16 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 1x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 1x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1x + x2 = 0 + -16 1x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 1x + x2 = -16 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. x + 0.25 + x2 = -16 + 0.25 Reorder the terms: 0.25 + x + x2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + x + x2 = -15.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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