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Simplifying -1x4 + -243 + 20x2 = 0 Reorder the terms: -243 + 20x2 + -1x4 = 0 Solving -243 + 20x2 + -1x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 243 + -20x2 + x4 = 0 Move the constant term to the right: Add '-243' to each side of the equation. 243 + -20x2 + -243 + x4 = 0 + -243 Reorder the terms: 243 + -243 + -20x2 + x4 = 0 + -243 Combine like terms: 243 + -243 = 0 0 + -20x2 + x4 = 0 + -243 -20x2 + x4 = 0 + -243 Combine like terms: 0 + -243 = -243 -20x2 + x4 = -243 The x term is -20x2. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x2 + 100 + x4 = -243 + 100 Reorder the terms: 100 + -20x2 + x4 = -243 + 100 Combine like terms: -243 + 100 = -143 100 + -20x2 + x4 = -143 Factor a perfect square on the left side: (x2 + -10)(x2 + -10) = -143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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