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Simplifying 0.5x2 + 3x + 5 = 0 Reorder the terms: 5 + 3x + 0.5x2 = 0 Solving 5 + 3x + 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'. 10 + 6x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + x2 = 0 + -10 6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 6x + x2 = -10 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -10 + 9 Reorder the terms: 9 + 6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6x + x2 = -1 Factor a perfect square on the left side: (x + 3)(x + 3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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