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Simplifying x + -0.08x2 = 0.25 Solving x + -0.08x2 = 0.25 Solving for variable 'x'. Reorder the terms: -0.25 + x + -0.08x2 = 0.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + x + -0.08x2 = 0.00 Begin completing the square. Divide all terms by -0.08 the coefficient of the squared term: Divide each side by '-0.08'. 3.125 + -12.5x + x2 = 0 Move the constant term to the right: Add '-3.125' to each side of the equation. 3.125 + -12.5x + -3.125 + x2 = 0 + -3.125 Reorder the terms: 3.125 + -3.125 + -12.5x + x2 = 0 + -3.125 Combine like terms: 3.125 + -3.125 = 0.000 0.000 + -12.5x + x2 = 0 + -3.125 -12.5x + x2 = 0 + -3.125 Combine like terms: 0 + -3.125 = -3.125 -12.5x + x2 = -3.125 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. -12.5x + 0.25 + x2 = -3.125 + 0.25 Reorder the terms: 0.25 + -12.5x + x2 = -3.125 + 0.25 Combine like terms: -3.125 + 0.25 = -2.875 0.25 + -12.5x + x2 = -2.875 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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