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Simplifying 10x2 + -1x + 24 = 0 Reorder the terms: 24 + -1x + 10x2 = 0 Solving 24 + -1x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.4 + -0.1x + x2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -0.1x + -2.4 + x2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -0.1x + x2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.1x + x2 = 0 + -2.4 -0.1x + x2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -0.1x + x2 = -2.4 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 = -2.4 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = -2.4 + 0.0025 Combine like terms: -2.4 + 0.0025 = -2.3975 0.0025 + -0.1x + x2 = -2.3975 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = -2.3975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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