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Simplifying 10x2 + 9 = x Reorder the terms: 9 + 10x2 = x Solving 9 + 10x2 = x Solving for variable 'x'. Reorder the terms: 9 + -1x + 10x2 = x + -1x Combine like terms: x + -1x = 0 9 + -1x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + -0.1x + x2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.1x + -0.9 + x2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.1x + x2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.1x + x2 = 0 + -0.9 -0.1x + x2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -0.1x + x2 = -0.9 The x term is -0.1x. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1x + 0.0025 + x2 = -0.9 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = -0.9 + 0.0025 Combine like terms: -0.9 + 0.0025 = -0.8975 0.0025 + -0.1x + x2 = -0.8975 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = -0.8975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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