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Simplifying 5x2 + 25x + 57 = 0 Reorder the terms: 57 + 25x + 5x2 = 0 Solving 57 + 25x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 11.4 + 5x + x2 = 0 Move the constant term to the right: Add '-11.4' to each side of the equation. 11.4 + 5x + -11.4 + x2 = 0 + -11.4 Reorder the terms: 11.4 + -11.4 + 5x + x2 = 0 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + 5x + x2 = 0 + -11.4 5x + x2 = 0 + -11.4 Combine like terms: 0 + -11.4 = -11.4 5x + x2 = -11.4 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -11.4 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -11.4 + 6.25 Combine like terms: -11.4 + 6.25 = -5.15 6.25 + 5x + x2 = -5.15 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -5.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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