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Simplifying x2 + -16x4 = 15 Solving x2 + -16x4 = 15 Solving for variable 'x'. Reorder the terms: -15 + x2 + -16x4 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + x2 + -16x4 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.9375 + -0.0625x2 + x4 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -0.0625x2 + -0.9375 + x4 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -0.0625x2 + x4 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -0.0625x2 + x4 = 0 + -0.9375 -0.0625x2 + x4 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -0.0625x2 + x4 = -0.9375 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. -0.0625x2 + 0.25 + x4 = -0.9375 + 0.25 Reorder the terms: 0.25 + -0.0625x2 + x4 = -0.9375 + 0.25 Combine like terms: -0.9375 + 0.25 = -0.6875 0.25 + -0.0625x2 + x4 = -0.6875 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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