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Simplifying x2 + 67 + -3x = 0 Reorder the terms: 67 + -3x + x2 = 0 Solving 67 + -3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-67' to each side of the equation. 67 + -3x + -67 + x2 = 0 + -67 Reorder the terms: 67 + -67 + -3x + x2 = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -3x + x2 = 0 + -67 -3x + x2 = 0 + -67 Combine like terms: 0 + -67 = -67 -3x + x2 = -67 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -67 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -67 + 2.25 Combine like terms: -67 + 2.25 = -64.75 2.25 + -3x + x2 = -64.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -64.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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