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Simplifying -8x4 + x2 + -7 = 0 Reorder the terms: -7 + x2 + -8x4 = 0 Solving -7 + x2 + -8x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.875 + -0.125x2 + x4 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.125x2 + -0.875 + x4 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.125x2 + x4 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.125x2 + x4 = 0 + -0.875 -0.125x2 + x4 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.125x2 + x4 = -0.875 The x term is x2. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.125x2 + 0.25 + x4 = -0.875 + 0.25 Reorder the terms: 0.25 + -0.125x2 + x4 = -0.875 + 0.25 Combine like terms: -0.875 + 0.25 = -0.625 0.25 + -0.125x2 + x4 = -0.625 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -0.625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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