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Simplifying 0.004x2 + x + 2.5 = 0 Reorder the terms: 2.5 + x + 0.004x2 = 0 Solving 2.5 + x + 0.004x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.004 the coefficient of the squared term: Divide each side by '0.004'. 625 + 250x + x2 = 0 Move the constant term to the right: Add '-625' to each side of the equation. 625 + 250x + -625 + x2 = 0 + -625 Reorder the terms: 625 + -625 + 250x + x2 = 0 + -625 Combine like terms: 625 + -625 = 0 0 + 250x + x2 = 0 + -625 250x + x2 = 0 + -625 Combine like terms: 0 + -625 = -625 250x + x2 = -625 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. 250x + 0.25 + x2 = -625 + 0.25 Reorder the terms: 0.25 + 250x + x2 = -625 + 0.25 Combine like terms: -625 + 0.25 = -624.75 0.25 + 250x + x2 = -624.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -624.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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