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Simplifying 0 = 35x4 + -1x2 + 25 Reorder the terms: 0 = 25 + -1x2 + 35x4 Solving 0 = 25 + -1x2 + 35x4 Solving for variable 'x'. Combine like terms: 0 + -25 = -25 -25 + x2 + -35x4 = 25 + -1x2 + 35x4 + -25 + x2 + -35x4 Reorder the terms: -25 + x2 + -35x4 = 25 + -25 + -1x2 + x2 + 35x4 + -35x4 Combine like terms: 25 + -25 = 0 -25 + x2 + -35x4 = 0 + -1x2 + x2 + 35x4 + -35x4 -25 + x2 + -35x4 = -1x2 + x2 + 35x4 + -35x4 Combine like terms: -1x2 + x2 = 0 -25 + x2 + -35x4 = 0 + 35x4 + -35x4 -25 + x2 + -35x4 = 35x4 + -35x4 Combine like terms: 35x4 + -35x4 = 0 -25 + x2 + -35x4 = 0 Begin completing the square. Divide all terms by -35 the coefficient of the squared term: Divide each side by '-35'. 0.7142857143 + -0.02857142857x2 + x4 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.02857142857x2 + -0.7142857143 + x4 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.02857142857x2 + x4 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.02857142857x2 + x4 = 0 + -0.7142857143 -0.02857142857x2 + x4 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.02857142857x2 + x4 = -0.7142857143 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. -0.02857142857x2 + 0.25 + x4 = -0.7142857143 + 0.25 Reorder the terms: 0.25 + -0.02857142857x2 + x4 = -0.7142857143 + 0.25 Combine like terms: -0.7142857143 + 0.25 = -0.4642857143 0.25 + -0.02857142857x2 + x4 = -0.4642857143 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -0.4642857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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