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Simplifying 3x4 + -8x2 + 18 = 0 Reorder the terms: 18 + -8x2 + 3x4 = 0 Solving 18 + -8x2 + 3x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6 + -2.666666667x2 + x4 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2.666666667x2 + -6 + x4 = 0 + -6 Reorder the terms: 6 + -6 + -2.666666667x2 + x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2.666666667x2 + x4 = 0 + -6 -2.666666667x2 + x4 = 0 + -6 Combine like terms: 0 + -6 = -6 -2.666666667x2 + x4 = -6 The x term is -2.666666667x2. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x2 + 1.777777780 + x4 = -6 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x2 + x4 = -6 + 1.777777780 Combine like terms: -6 + 1.777777780 = -4.22222222 1.777777780 + -2.666666667x2 + x4 = -4.22222222 Factor a perfect square on the left side: (x2 + -1.333333334)(x2 + -1.333333334) = -4.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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