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Simplifying x2 + -5x + 19 = 0 Reorder the terms: 19 + -5x + x2 = 0 Solving 19 + -5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -5x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -5x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5x + x2 = 0 + -19 -5x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -5x + x2 = -19 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -19 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -19 + 6.25 Combine like terms: -19 + 6.25 = -12.75 6.25 + -5x + x2 = -12.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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