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Simplifying 0 = 21x4 + -1x2 + 9 Reorder the terms: 0 = 9 + -1x2 + 21x4 Solving 0 = 9 + -1x2 + 21x4 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + x2 + -21x4 = 9 + -1x2 + 21x4 + -9 + x2 + -21x4 Reorder the terms: -9 + x2 + -21x4 = 9 + -9 + -1x2 + x2 + 21x4 + -21x4 Combine like terms: 9 + -9 = 0 -9 + x2 + -21x4 = 0 + -1x2 + x2 + 21x4 + -21x4 -9 + x2 + -21x4 = -1x2 + x2 + 21x4 + -21x4 Combine like terms: -1x2 + x2 = 0 -9 + x2 + -21x4 = 0 + 21x4 + -21x4 -9 + x2 + -21x4 = 21x4 + -21x4 Combine like terms: 21x4 + -21x4 = 0 -9 + x2 + -21x4 = 0 Begin completing the square. Divide all terms by -21 the coefficient of the squared term: Divide each side by '-21'. 0.4285714286 + -0.04761904762x2 + x4 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.04761904762x2 + -0.4285714286 + x4 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.04761904762x2 + x4 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.04761904762x2 + x4 = 0 + -0.4285714286 -0.04761904762x2 + x4 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.04761904762x2 + x4 = -0.4285714286 The x term is x2. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.04761904762x2 + 0.25 + x4 = -0.4285714286 + 0.25 Reorder the terms: 0.25 + -0.04761904762x2 + x4 = -0.4285714286 + 0.25 Combine like terms: -0.4285714286 + 0.25 = -0.1785714286 0.25 + -0.04761904762x2 + x4 = -0.1785714286 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -0.1785714286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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