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Simplifying 144x4 + -96x2 + 17 = 0 Reorder the terms: 17 + -96x2 + 144x4 = 0 Solving 17 + -96x2 + 144x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 144 the coefficient of the squared term: Divide each side by '144'. 0.1180555556 + -0.6666666667x2 + x4 = 0 Move the constant term to the right: Add '-0.1180555556' to each side of the equation. 0.1180555556 + -0.6666666667x2 + -0.1180555556 + x4 = 0 + -0.1180555556 Reorder the terms: 0.1180555556 + -0.1180555556 + -0.6666666667x2 + x4 = 0 + -0.1180555556 Combine like terms: 0.1180555556 + -0.1180555556 = 0.0000000000 0.0000000000 + -0.6666666667x2 + x4 = 0 + -0.1180555556 -0.6666666667x2 + x4 = 0 + -0.1180555556 Combine like terms: 0 + -0.1180555556 = -0.1180555556 -0.6666666667x2 + x4 = -0.1180555556 The x term is -0.6666666667x2. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x2 + 0.1111111112 + x4 = -0.1180555556 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x2 + x4 = -0.1180555556 + 0.1111111112 Combine like terms: -0.1180555556 + 0.1111111112 = -0.0069444444 0.1111111112 + -0.6666666667x2 + x4 = -0.0069444444 Factor a perfect square on the left side: (x2 + -0.3333333334)(x2 + -0.3333333334) = -0.0069444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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