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Simplifying 0.5x(1 + -1x) = 1.16 (1 * 0.5x + -1x * 0.5x) = 1.16 (0.5x + -0.5x2) = 1.16 Solving 0.5x + -0.5x2 = 1.16 Solving for variable 'x'. Reorder the terms: -1.16 + 0.5x + -0.5x2 = 1.16 + -1.16 Combine like terms: 1.16 + -1.16 = 0.00 -1.16 + 0.5x + -0.5x2 = 0.00 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 2.32 + -1x + x2 = 0.0 Move the constant term to the right: Add '-2.32' to each side of the equation. 2.32 + -1x + -2.32 + x2 = 0.0 + -2.32 Reorder the terms: 2.32 + -2.32 + -1x + x2 = 0.0 + -2.32 Combine like terms: 2.32 + -2.32 = 0.00 0.00 + -1x + x2 = 0.0 + -2.32 -1x + x2 = 0.0 + -2.32 Combine like terms: 0.0 + -2.32 = -2.32 -1x + x2 = -2.32 The x term is -1x. 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. -1x + 0.25 + x2 = -2.32 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.32 + 0.25 Combine like terms: -2.32 + 0.25 = -2.07 0.25 + -1x + x2 = -2.07 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2.07 Can't calculate square root of the right side. The solution to this equation could not be determined.
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