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Simplifying 6x4 + 9x2 + 64 = 0 Reorder the terms: 64 + 9x2 + 6x4 = 0 Solving 64 + 9x2 + 6x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 10.66666667 + 1.5x2 + x4 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + 1.5x2 + -10.66666667 + x4 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + 1.5x2 + x4 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + 1.5x2 + x4 = 0 + -10.66666667 1.5x2 + x4 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 1.5x2 + x4 = -10.66666667 The x term is 1.5x2. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x2 + 0.5625 + x4 = -10.66666667 + 0.5625 Reorder the terms: 0.5625 + 1.5x2 + x4 = -10.66666667 + 0.5625 Combine like terms: -10.66666667 + 0.5625 = -10.10416667 0.5625 + 1.5x2 + x4 = -10.10416667 Factor a perfect square on the left side: (x2 + 0.75)(x2 + 0.75) = -10.10416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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