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Simplifying 3 + 5x2 + x = 1 Reorder the terms: 3 + x + 5x2 = 1 Solving 3 + x + 5x2 = 1 Solving for variable 'x'. Reorder the terms: 3 + -1 + x + 5x2 = 1 + -1 Combine like terms: 3 + -1 = 2 2 + x + 5x2 = 1 + -1 Combine like terms: 1 + -1 = 0 2 + x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.2x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.2x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.2x + x2 = 0 + -0.4 0.2x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.2x + x2 = -0.4 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 = -0.4 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -0.4 + 0.25 Combine like terms: -0.4 + 0.25 = -0.15 0.25 + 0.2x + x2 = -0.15 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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