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Simplifying x + 5 + x + 8 + x2 + -3x = 0 Reorder the terms: 5 + 8 + x + x + -3x + x2 = 0 Combine like terms: 5 + 8 = 13 13 + x + x + -3x + x2 = 0 Combine like terms: x + x = 2x 13 + 2x + -3x + x2 = 0 Combine like terms: 2x + -3x = -1x 13 + -1x + x2 = 0 Solving 13 + -1x + 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 + -1x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -1x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x + x2 = 0 + -13 -1x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x + x2 = -13 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. -1x + 0.25 + x2 = -13 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -13 + 0.25 Combine like terms: -13 + 0.25 = -12.75 0.25 + -1x + x2 = -12.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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