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Simplifying 7x2y + -2xy + -12xy2 + 4yx + -1x2y = 0 Reorder the terms: -2xy + 4xy + -12xy2 + 7x2y + -1x2y = 0 Combine like terms: -2xy + 4xy = 2xy 2xy + -12xy2 + 7x2y + -1x2y = 0 Combine like terms: 7x2y + -1x2y = 6x2y 2xy + -12xy2 + 6x2y = 0 Solving 2xy + -12xy2 + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(1 + -6y + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -6y + 3x)' equal to zero and attempt to solve: Simplifying 1 + -6y + 3x = 0 Reorder the terms: 1 + 3x + -6y = 0 Solving 1 + 3x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3x + -1 + -6y = 0 + -1 Reorder the terms: 1 + -1 + 3x + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x + -6y = 0 + -1 3x + -6y = 0 + -1 Combine like terms: 0 + -1 = -1 3x + -6y = -1 Add '6y' to each side of the equation. 3x + -6y + 6y = -1 + 6y Combine like terms: -6y + 6y = 0 3x + 0 = -1 + 6y 3x = -1 + 6y Divide each side by '3'. x = -0.3333333333 + 2y Simplifying x = -0.3333333333 + 2ySolution
x = {-0.3333333333 + 2y}
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