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Simplifying 3x4 + -20x2 + 48 = 0 Reorder the terms: 48 + -20x2 + 3x4 = 0 Solving 48 + -20x2 + 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'. 16 + -6.666666667x2 + x4 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6.666666667x2 + -16 + x4 = 0 + -16 Reorder the terms: 16 + -16 + -6.666666667x2 + x4 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6.666666667x2 + x4 = 0 + -16 -6.666666667x2 + x4 = 0 + -16 Combine like terms: 0 + -16 = -16 -6.666666667x2 + x4 = -16 The x term is -6.666666667x2. Take half its coefficient (-3.333333334). Square it (11.11111112) and add it to both sides. Add '11.11111112' to each side of the equation. -6.666666667x2 + 11.11111112 + x4 = -16 + 11.11111112 Reorder the terms: 11.11111112 + -6.666666667x2 + x4 = -16 + 11.11111112 Combine like terms: -16 + 11.11111112 = -4.88888888 11.11111112 + -6.666666667x2 + x4 = -4.88888888 Factor a perfect square on the left side: (x2 + -3.333333334)(x2 + -3.333333334) = -4.88888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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