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Simplifying x(4y + 6) + 3y(8 + 4x) = 0 Reorder the terms: x(6 + 4y) + 3y(8 + 4x) = 0 (6 * x + 4y * x) + 3y(8 + 4x) = 0 (6x + 4xy) + 3y(8 + 4x) = 0 6x + 4xy + (8 * 3y + 4x * 3y) = 0 Reorder the terms: 6x + 4xy + (12xy + 24y) = 0 6x + 4xy + (12xy + 24y) = 0 Combine like terms: 4xy + 12xy = 16xy 6x + 16xy + 24y = 0 Solving 6x + 16xy + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 6x + 16xy + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 6x + 16xy + 0 = 0 + -24y 6x + 16xy = 0 + -24y Remove the zero: 6x + 16xy = -24y Combine like terms: -24y + 24y = 0 6x + 16xy + 24y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3x + 8xy + 12y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3x + 8xy + 12y)' equal to zero and attempt to solve: Simplifying 3x + 8xy + 12y = 0 Solving 3x + 8xy + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 3x + 8xy + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 3x + 8xy + 0 = 0 + -12y 3x + 8xy = 0 + -12y Remove the zero: 3x + 8xy = -12y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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