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Simplifying a2 + ab + 12b2 = 0 Reorder the terms: ab + a2 + 12b2 = 0 Solving ab + a2 + 12b2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-12b2' to each side of the equation. ab + a2 + 12b2 + -12b2 = 0 + -12b2 Combine like terms: 12b2 + -12b2 = 0 ab + a2 + 0 = 0 + -12b2 ab + a2 = 0 + -12b2 Remove the zero: ab + a2 = -12b2 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. ab + a2 + 0.25b2 = -12b2 + 0.25b2 Combine like terms: -12b2 + 0.25b2 = -11.75b2 ab + a2 + 0.25b2 = -11.75b2 Factor a perfect square on the left side: (a + 0.5b)(a + 0.5b) = -11.75b2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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