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Simplifying 0.5x2 + -0.4x + 0.802 = 0 Reorder the terms: 0.802 + -0.4x + 0.5x2 = 0 Solving 0.802 + -0.4x + 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'. 1.604 + -0.8x + x2 = 0 Move the constant term to the right: Add '-1.604' to each side of the equation. 1.604 + -0.8x + -1.604 + x2 = 0 + -1.604 Reorder the terms: 1.604 + -1.604 + -0.8x + x2 = 0 + -1.604 Combine like terms: 1.604 + -1.604 = 0.000 0.000 + -0.8x + x2 = 0 + -1.604 -0.8x + x2 = 0 + -1.604 Combine like terms: 0 + -1.604 = -1.604 -0.8x + x2 = -1.604 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -1.604 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -1.604 + 0.16 Combine like terms: -1.604 + 0.16 = -1.444 0.16 + -0.8x + x2 = -1.444 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -1.444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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