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Simplifying 5x2 + -96x + 492 = 0 Reorder the terms: 492 + -96x + 5x2 = 0 Solving 492 + -96x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 98.4 + -19.2x + x2 = 0 Move the constant term to the right: Add '-98.4' to each side of the equation. 98.4 + -19.2x + -98.4 + x2 = 0 + -98.4 Reorder the terms: 98.4 + -98.4 + -19.2x + x2 = 0 + -98.4 Combine like terms: 98.4 + -98.4 = 0.0 0.0 + -19.2x + x2 = 0 + -98.4 -19.2x + x2 = 0 + -98.4 Combine like terms: 0 + -98.4 = -98.4 -19.2x + x2 = -98.4 The x term is -19.2x. Take half its coefficient (-9.6). Square it (92.16) and add it to both sides. Add '92.16' to each side of the equation. -19.2x + 92.16 + x2 = -98.4 + 92.16 Reorder the terms: 92.16 + -19.2x + x2 = -98.4 + 92.16 Combine like terms: -98.4 + 92.16 = -6.24 92.16 + -19.2x + x2 = -6.24 Factor a perfect square on the left side: (x + -9.6)(x + -9.6) = -6.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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