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Simplifying x2 + -1x + 41 = 0 Reorder the terms: 41 + -1x + x2 = 0 Solving 41 + -1x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -1x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -1x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1x + x2 = 0 + -41 -1x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -1x + x2 = -41 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 = -41 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -41 + 0.25 Combine like terms: -41 + 0.25 = -40.75 0.25 + -1x + x2 = -40.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -40.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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