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Simplifying 216x6 + -81x3 + 8 = 0 Reorder the terms: 8 + -81x3 + 216x6 = 0 Solving 8 + -81x3 + 216x6 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 216 the coefficient of the squared term: Divide each side by '216'. 0.03703703704 + -0.375x3 + x6 = 0 Move the constant term to the right: Add '-0.03703703704' to each side of the equation. 0.03703703704 + -0.375x3 + -0.03703703704 + x6 = 0 + -0.03703703704 Reorder the terms: 0.03703703704 + -0.03703703704 + -0.375x3 + x6 = 0 + -0.03703703704 Combine like terms: 0.03703703704 + -0.03703703704 = 0.00000000000 0.00000000000 + -0.375x3 + x6 = 0 + -0.03703703704 -0.375x3 + x6 = 0 + -0.03703703704 Combine like terms: 0 + -0.03703703704 = -0.03703703704 -0.375x3 + x6 = -0.03703703704 The x term is -0.375x3. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x3 + 0.03515625 + x6 = -0.03703703704 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x3 + x6 = -0.03703703704 + 0.03515625 Combine like terms: -0.03703703704 + 0.03515625 = -0.00188078704 0.03515625 + -0.375x3 + x6 = -0.00188078704 Factor a perfect square on the left side: (x3 + -0.1875)(x3 + -0.1875) = -0.00188078704 Can't calculate square root of the right side. The solution to this equation could not be determined.
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