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Simplifying 14x4 + -13x2 + 9 = 0 Reorder the terms: 9 + -13x2 + 14x4 = 0 Solving 9 + -13x2 + 14x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + -0.9285714286x2 + x4 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + -0.9285714286x2 + -0.6428571429 + x4 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + -0.9285714286x2 + x4 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + -0.9285714286x2 + x4 = 0 + -0.6428571429 -0.9285714286x2 + x4 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 -0.9285714286x2 + x4 = -0.6428571429 The x term is -0.9285714286x2. Take half its coefficient (-0.4642857143). Square it (0.2155612245) and add it to both sides. Add '0.2155612245' to each side of the equation. -0.9285714286x2 + 0.2155612245 + x4 = -0.6428571429 + 0.2155612245 Reorder the terms: 0.2155612245 + -0.9285714286x2 + x4 = -0.6428571429 + 0.2155612245 Combine like terms: -0.6428571429 + 0.2155612245 = -0.4272959184 0.2155612245 + -0.9285714286x2 + x4 = -0.4272959184 Factor a perfect square on the left side: (x2 + -0.4642857143)(x2 + -0.4642857143) = -0.4272959184 Can't calculate square root of the right side. The solution to this equation could not be determined.
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