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Simplifying 5x2 + x + 8 = 0 Reorder the terms: 8 + x + 5x2 = 0 Solving 8 + 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'. 1.6 + 0.2x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 0.2x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 0.2x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.2x + x2 = 0 + -1.6 0.2x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 0.2x + x2 = -1.6 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 = -1.6 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -1.6 + 0.25 Combine like terms: -1.6 + 0.25 = -1.35 0.25 + 0.2x + x2 = -1.35 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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