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Simplifying 5x6 + -3x3 + 1 = 0 Reorder the terms: 1 + -3x3 + 5x6 = 0 Solving 1 + -3x3 + 5x6 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + -0.6x3 + x6 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.6x3 + -0.2 + x6 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.6x3 + x6 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.6x3 + x6 = 0 + -0.2 -0.6x3 + x6 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.6x3 + x6 = -0.2 The x term is -0.6x3. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x3 + 0.09 + x6 = -0.2 + 0.09 Reorder the terms: 0.09 + -0.6x3 + x6 = -0.2 + 0.09 Combine like terms: -0.2 + 0.09 = -0.11 0.09 + -0.6x3 + x6 = -0.11 Factor a perfect square on the left side: (x3 + -0.3)(x3 + -0.3) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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