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Simplifying x2y2 + -6abxy + 9a2b2 = 0 Reorder the terms: -6abxy + 9a2b2 + x2y2 = 0 Solving -6abxy + 9a2b2 + x2y2 = 0 Solving for variable 'a'. Factor a trinomial. (3ab + -1xy)(3ab + -1xy) = 0Subproblem 1
Set the factor '(3ab + -1xy)' equal to zero and attempt to solve: Simplifying 3ab + -1xy = 0 Solving 3ab + -1xy = 0 Move all terms containing a to the left, all other terms to the right. Add 'xy' to each side of the equation. 3ab + -1xy + xy = 0 + xy Combine like terms: -1xy + xy = 0 3ab + 0 = 0 + xy 3ab = 0 + xy Remove the zero: 3ab = xy Divide each side by '3b'. a = 0.3333333333b-1xy Simplifying a = 0.3333333333b-1xySubproblem 2
Set the factor '(3ab + -1xy)' equal to zero and attempt to solve: Simplifying 3ab + -1xy = 0 Solving 3ab + -1xy = 0 Move all terms containing a to the left, all other terms to the right. Add 'xy' to each side of the equation. 3ab + -1xy + xy = 0 + xy Combine like terms: -1xy + xy = 0 3ab + 0 = 0 + xy 3ab = 0 + xy Remove the zero: 3ab = xy Divide each side by '3b'. a = 0.3333333333b-1xy Simplifying a = 0.3333333333b-1xySolution
a = {0.3333333333b-1xy, 0.3333333333b-1xy}
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