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Simplifying 4a2 + ab + b2 = 0 Reorder the terms: ab + 4a2 + b2 = 0 Solving ab + 4a2 + b2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25ab + a2 + 0.25b2 = 0 Move the constant term to the right: Add '-1b2' to each side of the equation. 0.25ab + a2 + 0.25b2 + -1b2 = 0 + -1b2 Combine like terms: 0.25b2 + -1b2 = -0.75b2 0.25ab + a2 + -0.75b2 = 0 + -1b2 Remove the zero: 0.25ab + a2 + -0.75b2 = -1b2 The a term is ab. Take half its coefficient (0.5b). Square it (0.25b2) and add it to both sides. Add '0.25b2' to each side of the equation. 0.25ab + a2 + -0.75b2 + 0.25b2 = -1b2 + 0.25b2 Combine like terms: -0.75b2 + 0.25b2 = -0.5b2 0.25ab + a2 + -0.5b2 = -1b2 + 0.25b2 Combine like terms: -1b2 + 0.25b2 = -0.75b2 0.25ab + a2 + -0.5b2 = -0.75b2 Factor a perfect square on the left side: (a + 0.5b)(a + 0.5b) = -0.75b2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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