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Simplifying 2x2 + x + 230 = 0 Reorder the terms: 230 + x + 2x2 = 0 Solving 230 + x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 115 + 0.5x + x2 = 0 Move the constant term to the right: Add '-115' to each side of the equation. 115 + 0.5x + -115 + x2 = 0 + -115 Reorder the terms: 115 + -115 + 0.5x + x2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 0.5x + x2 = 0 + -115 0.5x + x2 = 0 + -115 Combine like terms: 0 + -115 = -115 0.5x + x2 = -115 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. 0.5x + 0.25 + x2 = -115 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -115 + 0.25 Combine like terms: -115 + 0.25 = -114.75 0.25 + 0.5x + x2 = -114.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -114.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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