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Simplifying a2x2 + ab + b2 = 0 Reorder the terms: ab + a2x2 + b2 = 0 Solving ab + a2x2 + b2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by x2 the coefficient of the squared term: Divide each side by 'x2'. abx-2 + a2 + b2x-2 = 0x-2 Move the constant term to the right: Add '-1b2x-2' to each side of the equation. abx-2 + a2 + b2x-2 + -1b2x-2 = -1b2x-2 + 0x-2 Combine like terms: b2x-2 + -1b2x-2 = 0 abx-2 + a2 + 0 = -1b2x-2 + 0x-2 abx-2 + a2 = -1b2x-2 + 0x-2 Reorder the terms: abx-2 + a2 = 0 + -1b2x-2 Remove the zero: abx-2 + a2 = -1b2x-2 The a term is abx-2. Take half its coefficient (0.5bx-2). Square it (0.25b2x-4) and add it to both sides. Add '0.25b2x-4' to each side of the equation. abx-2 + a2 + 0.25b2x-4 = 0.25b2x-4 + -1b2x-2 Factor a perfect square on the left side: (a + 0.5bx-2)(a + 0.5bx-2) = 0.25b2x-4 + -1b2x-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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