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Simplifying 5x2 + 13 + x + 6 = 0 Reorder the terms: 13 + 6 + x + 5x2 = 0 Combine like terms: 13 + 6 = 19 19 + x + 5x2 = 0 Solving 19 + 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'. 3.8 + 0.2x + x2 = 0 Move the constant term to the right: Add '-3.8' to each side of the equation. 3.8 + 0.2x + -3.8 + x2 = 0 + -3.8 Reorder the terms: 3.8 + -3.8 + 0.2x + x2 = 0 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.2x + x2 = 0 + -3.8 0.2x + x2 = 0 + -3.8 Combine like terms: 0 + -3.8 = -3.8 0.2x + x2 = -3.8 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 = -3.8 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -3.8 + 0.25 Combine like terms: -3.8 + 0.25 = -3.55 0.25 + 0.2x + x2 = -3.55 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -3.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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