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Simplifying 5x2 + x + 11 = 0 Reorder the terms: 11 + x + 5x2 = 0 Solving 11 + x + 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'. 2.2 + 0.2x + x2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + 0.2x + -2.2 + x2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + 0.2x + x2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 0.2x + x2 = 0 + -2.2 0.2x + x2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 0.2x + x2 = -2.2 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. 0.2x + 0.25 + x2 = -2.2 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -2.2 + 0.25 Combine like terms: -2.2 + 0.25 = -1.95 0.25 + 0.2x + x2 = -1.95 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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