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Simplifying 4x2 + 4x + 1.25 = 0 Reorder the terms: 1.25 + 4x + 4x2 = 0 Solving 1.25 + 4x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.3125 + x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + x + x2 = 0 + -0.3125 x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 x + x2 = -0.3125 The x term is x. 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. + 0.25 + x2 = -0.3125 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.3125 + 0.25 Combine like terms: -0.3125 + 0.25 = -0.0625 1.25 + x2 = -0.0625 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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