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Simplifying 16x4 + -2x2 + 1 = 0 Reorder the terms: 1 + -2x2 + 16x4 = 0 Solving 1 + -2x2 + 16x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -0.125x2 + x4 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.125x2 + -0.0625 + x4 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.125x2 + x4 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.125x2 + x4 = 0 + -0.0625 -0.125x2 + x4 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.125x2 + x4 = -0.0625 The x term is -0.125x2. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x2 + 0.00390625 + x4 = -0.0625 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x2 + x4 = -0.0625 + 0.00390625 Combine like terms: -0.0625 + 0.00390625 = -0.05859375 0.00390625 + -0.125x2 + x4 = -0.05859375 Factor a perfect square on the left side: (x2 + -0.0625)(x2 + -0.0625) = -0.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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