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Simplifying 4x2 + 4xy + y2 + -4a2 = 0 Reorder the terms: -4a2 + 4xy + 4x2 + y2 = 0 Solving -4a2 + 4xy + 4x2 + y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4xy' to each side of the equation. -4a2 + 4xy + 4x2 + -4xy + y2 = 0 + -4xy Reorder the terms: -4a2 + 4xy + -4xy + 4x2 + y2 = 0 + -4xy Combine like terms: 4xy + -4xy = 0 -4a2 + 0 + 4x2 + y2 = 0 + -4xy -4a2 + 4x2 + y2 = 0 + -4xy Remove the zero: -4a2 + 4x2 + y2 = -4xy Add '-4x2' to each side of the equation. -4a2 + 4x2 + -4x2 + y2 = -4xy + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4a2 + 0 + y2 = -4xy + -4x2 -4a2 + y2 = -4xy + -4x2 Add '-1y2' to each side of the equation. -4a2 + y2 + -1y2 = -4xy + -4x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -4a2 + 0 = -4xy + -4x2 + -1y2 -4a2 = -4xy + -4x2 + -1y2 Divide each side by '-4'. a2 = xy + x2 + 0.25y2 Simplifying a2 = xy + x2 + 0.25y2 Reorder the terms: a2 + -1xy + -1x2 + -0.25y2 = xy + -1xy + x2 + -1x2 + 0.25y2 + -0.25y2 Combine like terms: xy + -1xy = 0 a2 + -1xy + -1x2 + -0.25y2 = 0 + x2 + -1x2 + 0.25y2 + -0.25y2 a2 + -1xy + -1x2 + -0.25y2 = x2 + -1x2 + 0.25y2 + -0.25y2 Combine like terms: x2 + -1x2 = 0 a2 + -1xy + -1x2 + -0.25y2 = 0 + 0.25y2 + -0.25y2 a2 + -1xy + -1x2 + -0.25y2 = 0.25y2 + -0.25y2 Combine like terms: 0.25y2 + -0.25y2 = 0.00 a2 + -1xy + -1x2 + -0.25y2 = 0.00 The solution to this equation could not be determined.
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