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Simplifying x4 + -8x8 = 16 Solving x4 + -8x8 = 16 Solving for variable 'x'. Reorder the terms: -16 + x4 + -8x8 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + x4 + -8x8 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 2 + -0.125x4 + x8 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.125x4 + -2 + x8 = 0 + -2 Reorder the terms: 2 + -2 + -0.125x4 + x8 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.125x4 + x8 = 0 + -2 -0.125x4 + x8 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.125x4 + x8 = -2 The x term is x4. 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. -0.125x4 + 0.25 + x8 = -2 + 0.25 Reorder the terms: 0.25 + -0.125x4 + x8 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -0.125x4 + x8 = -1.75 Factor a perfect square on the left side: (x4 + 0.5)(x4 + 0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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