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Simplifying X2 + 7X + 13 = 0 Reorder the terms: 13 + 7X + X2 = 0 Solving 13 + 7X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 7X + -13 + X2 = 0 + -13 Reorder the terms: 13 + -13 + 7X + X2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7X + X2 = 0 + -13 7X + X2 = 0 + -13 Combine like terms: 0 + -13 = -13 7X + X2 = -13 The X term is 7X. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7X + 12.25 + X2 = -13 + 12.25 Reorder the terms: 12.25 + 7X + X2 = -13 + 12.25 Combine like terms: -13 + 12.25 = -0.75 12.25 + 7X + X2 = -0.75 Factor a perfect square on the left side: (X + 3.5)(X + 3.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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