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Simplifying -2.25x4 + 3x2 + -1 = 0 Reorder the terms: -1 + 3x2 + -2.25x4 = 0 Solving -1 + 3x2 + -2.25x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2.25 the coefficient of the squared term: Divide each side by '-2.25'. 0.4444444444 + -1.333333333x2 + x4 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -1.333333333x2 + -0.4444444444 + x4 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -1.333333333x2 + x4 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -1.333333333x2 + x4 = 0 + -0.4444444444 -1.333333333x2 + x4 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -1.333333333x2 + x4 = -0.4444444444 The x term is -1.333333333x2. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x2 + 0.4444444442 + x4 = -0.4444444444 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x2 + x4 = -0.4444444444 + 0.4444444442 Combine like terms: -0.4444444444 + 0.4444444442 = -0.0000000002 0.4444444442 + -1.333333333x2 + x4 = -0.0000000002 Factor a perfect square on the left side: (x2 + -0.6666666665)(x2 + -0.6666666665) = -0.0000000002 Can't calculate square root of the right side. The solution to this equation could not be determined.
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