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Simplifying -12 + x2 + x + 28 = 0 Reorder the terms: -12 + 28 + x + x2 = 0 Combine like terms: -12 + 28 = 16 16 + x + x2 = 0 Solving 16 + x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x + x2 = 0 + -16 x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x + x2 = -16 The x term is x. 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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