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Simplifying 0.25x4 + -2x2 + 9 = 0 Reorder the terms: 9 + -2x2 + 0.25x4 = 0 Solving 9 + -2x2 + 0.25x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 36 + -8x2 + x4 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -8x2 + -36 + x4 = 0 + -36 Reorder the terms: 36 + -36 + -8x2 + x4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8x2 + x4 = 0 + -36 -8x2 + x4 = 0 + -36 Combine like terms: 0 + -36 = -36 -8x2 + x4 = -36 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -36 + 16 Reorder the terms: 16 + -8x2 + x4 = -36 + 16 Combine like terms: -36 + 16 = -20 16 + -8x2 + x4 = -20 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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