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Simplifying -1x4 + 14x2 + -81 = 0 Reorder the terms: -81 + 14x2 + -1x4 = 0 Solving -81 + 14x2 + -1x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 81 + -14x2 + x4 = 0 Move the constant term to the right: Add '-81' to each side of the equation. 81 + -14x2 + -81 + x4 = 0 + -81 Reorder the terms: 81 + -81 + -14x2 + x4 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -14x2 + x4 = 0 + -81 -14x2 + x4 = 0 + -81 Combine like terms: 0 + -81 = -81 -14x2 + x4 = -81 The x term is -14x2. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x2 + 49 + x4 = -81 + 49 Reorder the terms: 49 + -14x2 + x4 = -81 + 49 Combine like terms: -81 + 49 = -32 49 + -14x2 + x4 = -32 Factor a perfect square on the left side: (x2 + -7)(x2 + -7) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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