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Simplifying 0.5x2 + 5x + 18 = 0 Reorder the terms: 18 + 5x + 0.5x2 = 0 Solving 18 + 5x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 36 + 10x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + 10x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 10x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 10x + x2 = 0 + -36 10x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 10x + x2 = -36 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -36 + 25 Reorder the terms: 25 + 10x + x2 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + 10x + x2 = -11 Factor a perfect square on the left side: (x + 5)(x + 5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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