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Simplifying 100x2 + -90x + 81 = 0 Reorder the terms: 81 + -90x + 100x2 = 0 Solving 81 + -90x + 100x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.81 + -0.9x + x2 = 0 Move the constant term to the right: Add '-0.81' to each side of the equation. 0.81 + -0.9x + -0.81 + x2 = 0 + -0.81 Reorder the terms: 0.81 + -0.81 + -0.9x + x2 = 0 + -0.81 Combine like terms: 0.81 + -0.81 = 0.00 0.00 + -0.9x + x2 = 0 + -0.81 -0.9x + x2 = 0 + -0.81 Combine like terms: 0 + -0.81 = -0.81 -0.9x + x2 = -0.81 The x term is -0.9x. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9x + 0.2025 + x2 = -0.81 + 0.2025 Reorder the terms: 0.2025 + -0.9x + x2 = -0.81 + 0.2025 Combine like terms: -0.81 + 0.2025 = -0.6075 0.2025 + -0.9x + x2 = -0.6075 Factor a perfect square on the left side: (x + -0.45)(x + -0.45) = -0.6075 Can't calculate square root of the right side. The solution to this equation could not be determined.
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