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Simplifying x2 + 13x + 126.75 = 0 Reorder the terms: 126.75 + 13x + x2 = 0 Solving 126.75 + 13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-126.75' to each side of the equation. 126.75 + 13x + -126.75 + x2 = 0 + -126.75 Reorder the terms: 126.75 + -126.75 + 13x + x2 = 0 + -126.75 Combine like terms: 126.75 + -126.75 = 0.00 0.00 + 13x + x2 = 0 + -126.75 13x + x2 = 0 + -126.75 Combine like terms: 0 + -126.75 = -126.75 13x + x2 = -126.75 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -126.75 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -126.75 + 42.25 Combine like terms: -126.75 + 42.25 = -84.5 42.25 + 13x + x2 = -84.5 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -84.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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