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Simplifying 9x8 + -20x4 + 144 = 0 Reorder the terms: 144 + -20x4 + 9x8 = 0 Solving 144 + -20x4 + 9x8 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 16 + -2.222222222x4 + x8 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2.222222222x4 + -16 + x8 = 0 + -16 Reorder the terms: 16 + -16 + -2.222222222x4 + x8 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2.222222222x4 + x8 = 0 + -16 -2.222222222x4 + x8 = 0 + -16 Combine like terms: 0 + -16 = -16 -2.222222222x4 + x8 = -16 The x term is -2.222222222x4. Take half its coefficient (-1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. -2.222222222x4 + 1.234567901 + x8 = -16 + 1.234567901 Reorder the terms: 1.234567901 + -2.222222222x4 + x8 = -16 + 1.234567901 Combine like terms: -16 + 1.234567901 = -14.765432099 1.234567901 + -2.222222222x4 + x8 = -14.765432099 Factor a perfect square on the left side: (x4 + -1.111111111)(x4 + -1.111111111) = -14.765432099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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