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Simplifying x2 + -43x + 580 = 0 Reorder the terms: 580 + -43x + x2 = 0 Solving 580 + -43x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-580' to each side of the equation. 580 + -43x + -580 + x2 = 0 + -580 Reorder the terms: 580 + -580 + -43x + x2 = 0 + -580 Combine like terms: 580 + -580 = 0 0 + -43x + x2 = 0 + -580 -43x + x2 = 0 + -580 Combine like terms: 0 + -580 = -580 -43x + x2 = -580 The x term is -43x. Take half its coefficient (-21.5). Square it (462.25) and add it to both sides. Add '462.25' to each side of the equation. -43x + 462.25 + x2 = -580 + 462.25 Reorder the terms: 462.25 + -43x + x2 = -580 + 462.25 Combine like terms: -580 + 462.25 = -117.75 462.25 + -43x + x2 = -117.75 Factor a perfect square on the left side: (x + -21.5)(x + -21.5) = -117.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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