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Simplifying x2 + 3.5x + 5 = 0 Reorder the terms: 5 + 3.5x + x2 = 0 Solving 5 + 3.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 3.5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 3.5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3.5x + x2 = 0 + -5 3.5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 3.5x + x2 = -5 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -5 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -5 + 3.0625 Combine like terms: -5 + 3.0625 = -1.9375 3.0625 + 3.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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