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Simplifying x2 + 12 + 48 = -1x + 6 Reorder the terms: 12 + 48 + x2 = -1x + 6 Combine like terms: 12 + 48 = 60 60 + x2 = -1x + 6 Reorder the terms: 60 + x2 = 6 + -1x Solving 60 + x2 = 6 + -1x Solving for variable 'x'. Reorder the terms: 60 + -6 + x + x2 = 6 + -1x + -6 + x Combine like terms: 60 + -6 = 54 54 + x + x2 = 6 + -1x + -6 + x Reorder the terms: 54 + x + x2 = 6 + -6 + -1x + x Combine like terms: 6 + -6 = 0 54 + x + x2 = 0 + -1x + x 54 + x + x2 = -1x + x Combine like terms: -1x + x = 0 54 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + x + x2 = 0 + -54 x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 x + x2 = -54 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 = -54 + 0.25 Reorder the terms: 0.25 + x + x2 = -54 + 0.25 Combine like terms: -54 + 0.25 = -53.75 0.25 + x + x2 = -53.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -53.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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